{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Mixture Density Networks"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A mixture density network is a probabilistic model of the form\n",
    "\n",
    "$$\n",
    "    p({\\bf t}|{\\bf x}) = \\sum_{k=1}^K \\pi_k({\\bf x})\\mathcal{N}({\\bf t}, {\\boldsymbol \\mu}_k({\\bf x}), {\\bf I}\\sigma_k^2)\n",
    "$$\n",
    "\n",
    "Where the coefficients in the model, namely $\\{\\pi_k({\\bf x})\\}_k$, $\\{{\\boldsymbol \\mu}_k({\\bf x})\\}_k$, and $\\{\\sigma_k({\\bf x})\\}_k$ are modelled as the outputs of a feedforward neural nework.\n",
    "\n",
    "A mixture density network is of use whenever we are presented with multimodal or nongauassian data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "from numpy.random import seed, normal, uniform, randn\n",
    "from sklearn.neural_network import MLPRegressor"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "%config InlineBackend.figure_format = \"retina\"\n",
    "np.set_printoptions(suppress=True, precision=3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "seed(2718)\n",
    "nsamples = 200\n",
    "xn = uniform(low=0, high=1, size=nsamples)\n",
    "noise = uniform(low=-0.1, high=0.1, size=nsamples)\n",
    "tn = xn + 0.3 * np.sin(2 * np.pi * xn) + noise"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7fcf4610a390>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 248,
       "width": 372
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(xn, tn, alpha=0.5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The forward and inverse problems"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "xrange = np.linspace(0, 1, 100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "nn_forward = MLPRegressor(hidden_layer_sizes=(6, 6),\n",
    "                  activation=\"tanh\",\n",
    "                  learning_rate_init=0.1,\n",
    "                  solver=\"lbfgs\", random_state=314)\n",
    "nn_forward.fit(xn.reshape(-1, 1), tn)\n",
    "yn_forward = nn_forward.predict(xrange.reshape(-1, 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/gerardoduran/miniconda3/lib/python3.7/site-packages/sklearn/neural_network/_multilayer_perceptron.py:470: ConvergenceWarning: lbfgs failed to converge (status=1):\n",
      "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.\n",
      "\n",
      "Increase the number of iterations (max_iter) or scale the data as shown in:\n",
      "    https://scikit-learn.org/stable/modules/preprocessing.html\n",
      "  self.n_iter_ = _check_optimize_result(\"lbfgs\", opt_res, self.max_iter)\n"
     ]
    }
   ],
   "source": [
    "nn_inverse = MLPRegressor(hidden_layer_sizes=(6, 6),\n",
    "                  activation=\"tanh\", \n",
    "                  learning_rate_init=0.1, tol=1e-8,\n",
    "                  solver=\"lbfgs\", random_state=3141)\n",
    "\n",
    "nn_inverse.fit(tn.reshape(-1, 1), xn)\n",
    "yn_inverse = nn_inverse.predict(xrange.reshape(-1, 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[(1, 6), (6, 6), (6, 1)]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "[c.shape for c in nn_forward.coefs_]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[(6,), (6,), (1,)]"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "[c.shape for c in nn_forward.intercepts_]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Loss for the forward problem: 0.0016\n",
      "Loss for the inverse problem: 0.0203\n"
     ]
    }
   ],
   "source": [
    "print(f\"Loss for the forward problem: {nn_forward.loss_:0.4f}\")\n",
    "print(f\"Loss for the inverse problem: {nn_inverse.loss_:0.4f}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 306,
       "width": 826
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 2, figsize=(14, 5))\n",
    "\n",
    "ax[0].scatter(xn, tn)\n",
    "ax[0].plot(xrange, yn_forward, c=\"tab:red\")\n",
    "\n",
    "ax[1].scatter(tn, xn)\n",
    "ax[1].plot(xrange, yn_inverse, c=\"tab:red\")\n",
    "\n",
    "for axi in ax:\n",
    "    axi.set_xlim(0, 1)\n",
    "    axi.set_ylim(0, 1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Choosing a least squares error function corresponds to a maximum likelihood under a Gaussian assumption. If the distribution of the parameters to fit is highly non-gaussian, the model cannot caputre the nature of the data."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Model Retraining\n",
    "\n",
    "Before training the mixture density network, we begin by re-training the network using numpy and scipy so that we may debug and train the mixture using central diferences and L-BFGS"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.optimize import minimize"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "seed(314)\n",
    "w = normal(size=1 * 6 + 6 * 6 + 6 * 1 + 6 + 6 + 1)\n",
    "w = np.clip(w, -1, 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "def fforward(W, X):\n",
    "    \"\"\"\n",
    "    A two-layered feed-forward activation function with \"n\" units\n",
    "    at each hidden layer; one input unit; and one output unit\n",
    "    \"\"\"\n",
    "    # weights\n",
    "    w1 = W[:6].reshape(1, 6)\n",
    "    w2 = W[6: 36 + 6].reshape(6, 6)\n",
    "    w3 = W[42: 42 + 6].reshape(6, 1)\n",
    "    # Biases\n",
    "    wb1 = W[48:48 + 6]\n",
    "    wb2 = W[54: 54 + 6]\n",
    "    wb3 = W[60:]\n",
    "\n",
    "    return np.tanh(np.tanh(X @ w1 + wb1) @ w2 + wb2) @ w3 + wb3\n",
    "\n",
    "def nntrain(w, X, y):\n",
    "    t = fforward(w, X).ravel()\n",
    "    err2 = np.mean((t - y) ** 2) \n",
    "    return err2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Central Differences Approximation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "X = xn.reshape(-1, 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 5.2 s, sys: 36.2 ms, total: 5.23 s\n",
      "Wall time: 5.28 s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "w0 = w.copy()\n",
    "eps = 0.01\n",
    "alpha = 0.7\n",
    "epochs = 700\n",
    "perturb = np.identity(w0.shape[0]) * eps\n",
    "\n",
    "E_hist = []\n",
    "for e in range(epochs):\n",
    "    for ix, p in enumerate(perturb):\n",
    "        w0[ix] = w0[ix] - alpha * (nntrain(w0 + p, X, tn) - nntrain(w0 - p, X, tn)) / (2 * eps)\n",
    "    E_epoch = nntrain(w0, X, tn)\n",
    "    E_hist.append(E_epoch)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 1008x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 263,
       "width": 818
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 2, figsize=(14, 4))\n",
    "ax[0].scatter(X, tn)\n",
    "ax[0].plot(xrange, fforward(w0, xrange.reshape(-1, 1)), c=\"tab:red\")\n",
    "ax[1].plot(E_hist)\n",
    "ax[0].set_title(\"Model Inference over trained data\")\n",
    "ax[1].set_title(\"Error function\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### With L-BFGS"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 1.09 s, sys: 6.95 ms, total: 1.1 s\n",
      "Wall time: 1.1 s\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "      fun: 0.003712256269684999\n",
       " hess_inv: <61x61 LbfgsInvHessProduct with dtype=float64>\n",
       "      jac: array([-0.003,  0.   ,  0.001, -0.   ,  0.001,  0.001, -0.   , -0.   ,\n",
       "       -0.   , -0.002, -0.   , -0.   ,  0.   ,  0.   ,  0.   ,  0.006,\n",
       "        0.   ,  0.   ,  0.   ,  0.   ,  0.   ,  0.005,  0.   ,  0.   ,\n",
       "        0.   ,  0.   ,  0.   ,  0.006,  0.   ,  0.   ,  0.   ,  0.   ,\n",
       "        0.   ,  0.005,  0.   ,  0.   , -0.   , -0.   , -0.   , -0.006,\n",
       "       -0.   , -0.   , -0.002,  0.002,  0.002, -0.001, -0.002,  0.002,\n",
       "       -0.007,  0.001,  0.002, -0.   ,  0.004,  0.002, -0.   , -0.   ,\n",
       "       -0.   , -0.006, -0.   , -0.   , -0.002])\n",
       "  message: b'STOP: TOTAL NO. of f AND g EVALUATIONS EXCEEDS LIMIT'\n",
       "     nfev: 15066\n",
       "      nit: 187\n",
       "   status: 1\n",
       "  success: False\n",
       "        x: array([-1.176, -0.775, -1.249, -0.035, -0.747, -2.649,  3.28 ,  0.452,\n",
       "       -0.577,  1.29 ,  0.324, -0.928, -0.682,  0.82 ,  1.214, -0.931,\n",
       "       -0.569,  0.882,  0.781,  1.124, -0.194, -1.25 , -2.018,  0.942,\n",
       "       -0.303,  0.797,  1.457,  0.302, -2.153, -0.772, -0.574, -0.39 ,\n",
       "       -0.968, -3.569, -1.647,  1.386,  0.006, -0.458, -1.049, -3.834,\n",
       "        0.08 ,  0.107,  1.373,  0.667,  1.393,  4.556,  0.336,  0.995,\n",
       "        0.85 , -1.377, -0.742, -1.931, -1.239,  3.61 ,  0.991, -1.654,\n",
       "       -1.082, -0.921,  2.184, -1.177, -0.698])"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%%time\n",
    "nnw = minimize(nntrain, w, (X, tn), method=\"l-bfgs-b\",\n",
    "               tol=1e-20)\n",
    "nnw"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fcf41f87d50>]"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 248,
       "width": 372
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "w0 = nnw.x\n",
    "plt.scatter(X, tn)\n",
    "plt.plot(xrange, fforward(w0, xrange.reshape(-1, 1)), c=\"tab:red\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The Mixture Density Network\n",
    "\n",
    "The loss function for the mixture density network is given by\n",
    "\n",
    "$$\n",
    "    E({\\bf w}) = - \\sum_{n=1}^N \\ln\\left\\{\\sum_{k=1}^K \\pi_k({\\bf x}_n, {\\bf w})\\mathcal{N}({\\bf t}_n|{\\boldsymbol \\mu}_k({\\bf x}_n, {\\bf w}), {\\bf I}\\sigma_k^2\n",
    "  ({\\bf x}_n, {\\bf w}))\\right\\}\n",
    "$$\n",
    "\n",
    "With\n",
    "\n",
    "$$\n",
    "    \\mathcal{N}\\left({\\bf t}_n|{\\boldsymbol \\mu}_k({\\bf x}_n), {\\bf I}\\sigma_k^2\n",
    "  ({\\bf x}_n)\\right) = \\frac{1}{\\left(2\\pi\\sigma^2_k({\\bf x}_n)\\right)^{k/2}} \\exp\\left(\\frac{-1}{2\\sigma_k^2({\\bf x}_n)}||{\\bf t}_n - {\\boldsymbol \\mu}_k({\\bf x}_n)||^2\\right)\n",
    "$$\n",
    "\n",
    "We will model the coeffients $\\{\\pi_k\\}_k$, $\\{{\\boldsymbol \\mu}_k\\}_k$, and $\\{\\sigma_k\\}_k$ as the outputs of a feed-forward neural network. In this example, we will consider three Gaussian components generated by a two-layer nnet with five `tanh` in each hidden layer and nine output units (three $\\mu_k$s; three $\\sigma_k$s; and three $\\pi_k$s)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Vectorized Central Differences"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "def mixture_coefs(w, X):\n",
    "    \"\"\"\n",
    "    Estimates coefficients of a mixture density network\n",
    "    with two hidden layers; each witth 6 layers\n",
    "    \"\"\"\n",
    "    # Weights\n",
    "    w1 = w[:, :nw1].reshape(-1, ni, nh)\n",
    "    w2 = w[:, nw1:nw2 + nw1].reshape(-1, nh, nh)\n",
    "    w3 = w[:, nw2 + nw1: nw3 + nw2 + nw1].reshape(-1, nh, no)\n",
    "\n",
    "    # Biases\n",
    "    wb1 = w[:, nw3 + nw2 + nw1: nb1 + nw3 + nw2 + nw1][:, np.newaxis, :]\n",
    "    wb2 = w[:, nb1 + nw3 + nw2 + nw1: nb2 + nb1 + nw3 + nw2 + nw1][:, np.newaxis, :]\n",
    "    wb3 = w[:, nb2 + nb1 + nw3 + nw2 + nw1: nb3 + nb2 + nb1 + nw3 + nw2 + nw1][:, np.newaxis, :]\n",
    "    \n",
    "    coefs = np.tanh(np.tanh(X @ w1 + wb1) @ w2 + wb2) @ w3 + wb3\n",
    "    # sample-weights | sample-obs | nnet-output \n",
    "    a_pi = coefs[:, :, :3]\n",
    "    a_mu = coefs[:, :, 3:6]\n",
    "    a_sigma = coefs[:, :, 6:]\n",
    "    \n",
    "    pi = np.exp(a_pi) / np.exp(a_pi).sum(axis=-1)[:, :, np.newaxis]\n",
    "    mu = a_mu\n",
    "    sigma = np.exp(a_sigma)\n",
    "    return pi, mu, sigma\n",
    "\n",
    "def mdn(w, X, t):\n",
    "    \"\"\"\n",
    "    With a mixture density network, compute the probability of \"t\"\n",
    "    given a vector \"X\" and a set of weights \"w\"\n",
    "    \"\"\"\n",
    "    pi, mu, sigma = mixture_coefs(w, X)\n",
    "    Nk = 1 / np.sqrt(2 * np.pi * sigma ** 2) * np.exp(-(t[:, np.newaxis] - mu) ** 2 / (2 * sigma ** 2))\n",
    "    return (pi * Nk).sum(axis=-1)\n",
    "\n",
    "def E(w, X, t):\n",
    "    \"\"\"\n",
    "    Computes the negative log-likelihood error function for the\n",
    "    mixture density nework.\n",
    "    \"\"\"\n",
    "    mixture_gaussian = mdn(w, X, t)\n",
    "    return -np.log(mixture_gaussian).sum(axis=-1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Model params: 94\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "array([88.303])"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "seed(271)\n",
    "ni, nh, no = 1, 5, 9\n",
    "nw1, nw2, nw3 = ni * nh, nh * nh, nh * no\n",
    "nb1, nb2, nb3 = nh, nh, no\n",
    "\n",
    "nparams = ni * nh + nh * nh + nh * no + (nh + nh + no)\n",
    "# Start with small parameters; gets stuck in local minima otherwise\n",
    "w = randn(nparams) * 0.6\n",
    "\n",
    "print(f\"Model params: {nparams}\")\n",
    "E(w[np.newaxis, :], tn[:, np.newaxis], xn)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 2min 14s, sys: 2.5 s, total: 2min 17s\n",
      "Wall time: 2min 16s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "w0 = w.copy()[np.newaxis, :]\n",
    "eps = 1e-10\n",
    "alpha = 4e-6\n",
    "epochs = 10_000\n",
    "perturb = np.identity(w0.shape[1]) * eps\n",
    "\n",
    "w_hist = []\n",
    "E_hist = []\n",
    "for e in range(epochs):\n",
    "    forward = E(w0 + perturb, tn[:, np.newaxis], xn)\n",
    "    backward = E(w0 - perturb, tn[:, np.newaxis], xn)\n",
    "    w0 = w0 - alpha * (forward - backward) / (2 * eps)\n",
    "    E_epoch = E(w0, tn[:, np.newaxis], xn)[0]\n",
    "    print(f\"@epoch {e:04} | E(w*) = {E_epoch:,.2f}\", end=\"\\r\")\n",
    "    if e % 5 == 0:\n",
    "        w_hist.append(w0)\n",
    "    E_hist.append(E_epoch)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fcf41fce4d0>]"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 304,
       "width": 886
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(15, 5))\n",
    "plt.plot(E_hist)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x216 with 4 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 210,
       "width": 918
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "xrange = np.linspace(0, 1, 300)\n",
    "pi, mu, sigma = mixture_coefs(w0, xrange[:, np.newaxis])\n",
    "pi, mu, sigma = pi[0], mu[0], sigma[0]\n",
    "\n",
    "fig, ax = plt.subplots(1, 3, figsize=(15, 3))\n",
    "ax[0].plot(xrange, pi);\n",
    "\n",
    "m1, m2, m3 = ax[1].plot(xrange, mu)\n",
    "ax[1].legend([m1, m2, m3],\n",
    "           [r\"$\\mu_{k}({\\bf x})$\".replace(\"k\", str(i)) for i in range(1, 4)]);\n",
    "\n",
    "ax2 = ax[2].twinx()\n",
    "ax[2].plot(xrange,sigma[:,0], label=r\"$\\sigma_1({\\bf x})$\")\n",
    "ax[2].plot(0, 0, label=r\"$\\sigma_2({\\bf x})$\", color=\"tab:green\")\n",
    "ax[2].plot(xrange,sigma[:,2], label=r\"$\\sigma_3({\\bf x})$\")\n",
    "ax[2].legend()\n",
    "ax2.plot(xrange, sigma[:, 1], color=\"tab:green\")\n",
    "ax[2].set_ylabel(r\"$\\{\\sigma_1, \\sigma_3\\}$\")\n",
    "ax2.set_ylabel(r\"$\\{\\sigma_2\\}$\");\n",
    "\n",
    "titles = [r\"$\\pi({\\bf x})$\", r\"$\\mu({\\bf x})$\", r\"$\\sigma({\\bf x})$\"]\n",
    "for axi, title in zip(ax, titles):\n",
    "    axi.set_title(title)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x7fce8d3852d0>"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 306,
       "width": 358
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "grid = np.mgrid[0:1:0.005, 0:1:0.005]\n",
    "values = grid.T.reshape(-1, 2)\n",
    "x = values[:, [0]]\n",
    "t = values[:, 1]\n",
    "\n",
    "mixture_gaussian = mdn(w0, x, t)\n",
    "\n",
    "sx, sy = grid.shape[1:]\n",
    "mixture_map = mixture_gaussian.reshape(sy, sx).T\n",
    "\n",
    "plt.figure(figsize=(6, 5))\n",
    "plt.contourf(*grid, mixture_map, levels=20)\n",
    "\n",
    "xlim, ylim = plt.xlim(), plt.ylim()\n",
    "plt.scatter(tn, xn, c=\"tab:orange\", alpha=0.6)\n",
    "plt.xlim(xlim)\n",
    "plt.ylim(ylim)\n",
    "plt.colorbar()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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SIiLjYxQCKkqrUAqoi+k1ng7q5Ja8RavMtLnLd94Sv2sc3/i/5s+ztjtP3ixz0y7gGB5JXP5N8ltuGT5r3tkjqzs9jDdqAXWem+Ymv7C/4G3rGTvBFGvBgTO4QlhnhkWjzNvWM34BlMLk2K9IjSNF1CVSSImIjD4FVHcUUBfTz4CC82/Jy5l1ykGC77wlflX74Mzb7QpBdv8g3X/l/EDC8Pp2GO+oBRTA31n3uG5usRNMnTjeO8BsfTxoDV34yPpeETWCFFGXTCElIiKDpIA63aQGVNtZt+RtNGe47y3wu8abXU3Q6+dhvKMYUPNGmdvmS7JGg/8YnHMGV5jlx+ZT3jRfMm+UR36P0KRRREWAQkpEZDRFfRVKAXW6SQ+otpNuyevlLKd+HcYb9YA6bVDCTbPAtFGnGHa2ElcMk0wbNW6ahbHbMzTuFFERoZASERktUQ+oKBm3gMpbFW44BRzTww1sHrl5Cn7//zwMOqAOOnhLXi96nfwH0Q6o8ybu7YYOFgHNLlfi4hxfiZNoU0SJiIh0aRQCKiqrUOMUUDdiBf4mfY+bziY5q4ZtBHihSclP8dCd55+qd3jUPHuYQqeGGVD91OvkvygHVCcT9+qhw5Sxh4cF4fnfM2Z41MI4e3pLPnL0OxYhWo0SEYk+BdTo6iWg3k085ue5L7kW2yZj1Sl5KTwsUobLUqLI1dgOq06BX5fe56tGbyOrRzWg2i46+S/KAdXpxL0rZpk4TQIM1jtYiZs26mwEMzwM+hPfMjyKqIhRSImISC+iFFBRWoXqdQXq57kvuRN/TtFP8W396qE3x0+bM1yJlbkTf87Pc19S8lM8auYvdNvfqAcUdDf579833mLeqrCY3on0IazdTtwzCVk0yid+btuiUaYcJvg+WIjkzyxnU0RFkEJKRCSaor4KpYA6Wa97oP4mfY9rsW2KfopnzZPfQLc/fi22zb/NfUnRT3V92984BFTbeZP/toIpzDDkXyf+E9nY8b1Fv/Xv9G3s92lDILr5+m4m7l1lp/V1ZhmC1seOrcQZZWbMXf7sL/GZf/wMLok+RVREKaRERKJFAdW5cQqovFXhprNJxqrzbf3qmZ/7opnlL1Nr/GdT/4lykCRhNju+7W+cAqrttMN4b9gF/tJ5zJxZxbJ8tsLMsb1Ft8wCv/Q+4Ev/4rdGnjcEotNQ63bi3sswg03Abhgnabj82HxKMXy9Ejdt1CmHCf7sL/FL7wOdETWiFFERppASEYmGqAdUlIxTQAHccArkrBol7/w30CnTJWE0iVseVTfR8W1/4xhQBxWCLGl/j48S93gvts5fxDZIGw1cw6YSJojTZDucohIm9vcWvW094xdAKUxeKDI6GQLRaajF8bqeuLeHwT/6b5GiyZvmi/2Iq4VxNoIZvg8W+Mx/UwE1whRREaeQEhG5XKMQUFFZhYpSQPWLY3qt2/E4/w30YqyEY/r4oUkpOB5dR2/7++v099zzFgZy3VHyXuwxn6S+4Lq1xYq9Tdxo4oUWPibTRo0pwyVrNHgY5NkK04f2Fn1kfd91aHQ6BKLTUNvjwNlXXUzcexzM8Uf/Vs+3E0o0jfc/fYyJYHvnsi9BRGQiKaA6F7WA6tdhum5g44UmNv6Zn5cwXDJmHRufemjjh6e/xXrRzJKx6qxObZI3y325zqhatTb5JPUFb9nPCIBaECPAYIcUlTDBdjiFFxr7B85maACtfURZo8Gb5kvmje6eo6NDIE6K2Y1wmp1gaj/UzvIwyO8fimsSnPm57Yl7xTC1P3FvM8zyR/8Wn/l3+KN/SwE1JhRRIiIiI0oBdbJ+BRTAIzdPyU+Rs89+A5229oibHhjgBjGqfuLUzw0wKZIiZ9a4aRf6dq1R9A/Jr7hrPwXAMXzipoeLTYgBQIhBjTiN0CZt7LFkloBXz9GrcLlpdv4cHRwC8fycWOk01DbDLPeDBcphgsVzgk4T9yaHImpEaDVKRGS4or4KFZWAipp+BhRAwc/w0J2n4ie5Ejv9DbRF0LpNLbAoB0ka4elh6ccMmqGNRYBjeH293qhYtTb579L/yD8kvmbZLjJj7nLV3iFrNEjQJMbhn7uOQwyPrFEngQuw/xzF6fw56nYIRKeh9lv/Do+DOWbMXZaN4rGgNglYNlo/5+NgThP3JoD2RI0Q7Y8SERmOqAdUlERpFarfAdX2T9U7rDoF7sSfA63b8Y6OrJ62atiGz14Q40Uzd+r38mOtFZiY4eGGcdxw/N6KtfdA/Sj2lFlrlwCD0Gg9TzHDx8ZnGqiECRq0/vyEGLjYxPHIGA0aobO/t2ivi7erFxkC0UmoPQzm+aX3Ab+gtVdLE/dk/P7LHXMKKRGRwRqFgIrKKtQkBBTAo2aeX5fe5+e5L7kW2+Zu8illvzXtLWb4ZK0a9SDGjjeFaYTUAufE79MOKJOAnFlnoznDQ+/4eVHDdnAEuRvaPPTyFIKL3Yp2cA9UMzSpBHEMw6CGgxvGsAhIGh5xwwMa+KFB89XbUT80MAixCPf3Fm0EM/t7izpx0SEQnYTal/51SmGSj6zvNXFPFFGjSCElIjIYCqjOTUpAtX3VuE7JT/HX6e+55bzcP0R3N3DYaE7zg7vArFnlR8mnXImVjx3K2w4ogEWrTDlIcN9buHCs9MOqtclHiXu8Yb/cPwzXx6QUJHngLfBZ4w5rfndB8FHiHivWFsVgiiYm01Ydy/AhBA+TJjYxAswwJGb4pHApvVqNs4wQLzTxMS68t6g9BGLZLLLOzJm39F0k1B4G8zwM5jVxTxRRo0ohJSIyeRRQxw0joNoeNfM82smTtyrccAo4pocb2Dxy8xT8DDdiBXJ2/dhtfwdXoBatMtPmLt95S/yucXn7Zg6OHc+YDYpBCq99jlKsyFVrh5t2gV/VPuBPzc4OvM2bZd6wX5I1G3ztzmE7HntYpNjDIGwNkQgdYvjEjSY2IQ4eFj4BJg4eNRymcJky9/izv9T13qL2EIhr5g6LRrk1Lv0UvQyB2AyzbPqKplEVq/b+PRRRI0whJSLSP1FfhRqngJqLVbie2NqPkMeNObaa3T//wwyogwp+hkL9+PWedNtfkdT+vpmcWaccJPjOW+JXtQ+6XuXpl4O33BWDKR65c4dWbJ4ww6JV5i37GZ+koFRNdnStN+0CObPeCrKYiRc6lMMkacMlRZNdHFxaB+wCJIwmScMjRx1CA5OQKcOlYIQ97S36rX+HW2aBt61nELSm8B3dw7ZolJkxdy8UajJ6+hFNRymiRERk4imgOtNrQF1PFPir6fvcTGyStWtYRoAfmpS9FA8b8/y+eJvHjc5uq7qsgDrPwdv+Vqde3ybnhnE2mjPc9xb4XePNgQbUeXucDt5yt+EfX6kJMPc/vmJt8beJ71nbPf96HaM11ME1rf39SM/CHNmwwbRRgxBqxGgQIwhbq3M2PnYYghFQDRN84y/zRXC9p71FGgIhg4imoxRRI06rUSIivYl6QEXFRQOqver0ZuoZ/yK7RsZukDSblLwkzcAibrksxUssx3e4kSjwm8J7fF1dOedaohlQbY+aee55C+Qr/RvY0IlO9jg5RpMPnR9YtEr84OVJGC6N8ORBGM/9LO84T7ltvyRvls+9dje08SyT1IGhDpUwycMgz02zQNrYY5ZdXGyCV4cRhxgUSbLuz/Lv/Tv8P97dvuwt0hCIyTKMaDpKETUGFFIiIhczCgEVlVWobh1cdbriFLmW2CZludR9h81mhp3m1P6BtE8JWHDK3E4952d5KHvJU1ekoh5QAHuZViAUgiwFdzj7Zs7b4/SG/ZK/T3xDCCxZJWx83rALuKFFOUzy3M9RCQ7/WQteBVj7UODzfpbv4ycPddgK07iBxZJRJmvUiONjEGASUggz/B/Nd/i//B/3PWg0BGJ8XUY0HaWIGhMKKRGR7iigOtftKtQ76XV+lv8T1xLbZKwGcbNJwmwShCZx0+OKU2bK2mO9Mcd2M02AyXO3dfvYtfg2P83dPzGiRimghum8PU51M8ZbseekzQaErTjyMbENnyljjylcMkaDR16erSB96Ht3eihwM332UIdKmKQSJkkYLhkaLBgVyiT5R+9t/pfmf97fJ+QIDYEYD1EIp4OG/1+6DEywvXPZlyAiMhIUUJ3rNqCuJwr8LP8nbqees+fbPKjN44cmYLDjpdjxUvihSc6us5LYIm019r/2pZslYze4mdxkLlY5ch0KqNMc3eN0MKAyZp0VexvH8GiG9qujaA3c0KIaJNgOpghCk2mzxg27QMasH/reMcPDxzzzUODmge76rX+Hx8EcM+Yuy0YRk+DQ57pha8Q5BnzjX+X/9H7cnydBxk6sevh/okYRNWYUUiIio29UAwrgr6bvcy2+TamZ4rk7zZTl4pgee6FFiNEacx04uIFN2trjilPa/9oAk5KXJGfXuJ7YOnAdCqjTHBwr/vyE1ZZFq0Ta3MMNY+wEKYxXB9kmjOb+2PHdsHUQbtrcY9Eq739t+1DgUpA69VDg5uGFq/2hDn/2l4gbTX5sPeWGWWDZKHLDLPBj6ylxo6mhDnKiKEfTUbqdT0REJkrUV6FGOaDmYhVuJjbJ2A3Wq8sAmEbQerMeHo6MehBjxq6RsRskzCaNoPV4zcDCMgIc03t1HQqosxwcK370YNmE4ZI16jh4bIdThBg0whhxwyMEkoZLLYwDUAtjzBq7ZI36/rCJ8w4FPhpQbRrqIN0YhWA6iSJqDGl/lIjIyaIeUFFx0Ul81xNbZO0au36M2dguphGQthqt9ScjPPS5IQZuaOOYHmmrsR9RMdOn5rdWqhRQ52uPFffC489VxmzgGD572IS0Roq3b+ULMIm/2udUD53W7wc2juGRNWvMUjvzUODTAqpNQx3kLKMaTgcposaUQkpE5LBRCKgorEL1chbU1fh2awqf6TLvVF/dvBeSslxsI8ANbJoH9tYEodG6vcxo7ZsxCcjZdZ7tTfMgtgB+zz/OQF12QEFrj5GPSdxwj/2a+er5P7gKaBLSxOalnyFn1kmbe8wau+yFNjF8YobHLbvAcz934qHA58XTURrqIG3jEE4HKaLGmEJKRKRFAdWZXgLqnfQ6H818x7RdI2b67PoOYWhiGCG2EWAaAbOxXYpeir1Xq06mEeKF5v6ZQQtOmYqX4D5XKPjR/T2LQjy1PfTylIIky7EiTw6MFYfWqlOIgWH4EIJBSNzwqAVxnvozvPRzLFolsmYNx/CJ49HEYs3L87n7xrFDgbsNKJFxC6eDFFFjTiElIpNOATV47Yl8804FN7AxCKn58f1byNzAZja2S8zwmbZrbDen8EILx/Co+SlqvsOiUyQXq3HPW+Kfq8dvH4uKKAUUtM6ieuAtcNXaYdEqs+EfGCseJHBDiyljj11CkoaLi005SNIIHRpAxUvs7526FdvkkZfnf678G+55y4ceRwElnRrncDooWq8EIiIiEyYqAdXLKlR7It+Wm+ZlM0sztEmazf1fb4Y2RS9FM2wNjZiL7TJj14AQi4BbqU3ipsc9b4lfl97nUfPkSXCXLWoB1fZZ4w7r/hzT5i7L1uux4o3QoRwmcbGYMWvEDY9qEOe5nzv09Y3QwTZCnvs5/uC+oYCSro3SVL1+0UrUBNBqlIhMqqivQo1DQB2dyJfyXdJWg5zdOm+oHsQIMdgLYmw3p5iL7RICpuFT8xO8aGZ5vjfNfa7wz9U3FVAXsObP86vaB3ySghVri3ecp5SCJM3QxiTEwcc2fKpBgsfeLJUwsf+1JgGLVvnUIRIKKDnLJEXTUYqoCaGQEpFJE/WAiopeAgpeT+QreUkCTKp+gvXGHCS2SFt7zNg13NAmCA1MIyQMoRlaPNmb5f/d/gvu1ZZ43JjjWWr6/Ae7JFEOqLY/Na9Tqib528T33LZfkDNbY8W3gjQ7QYoZs7Xyt2yXmApcmqFNzPDImXXKQaIvQyRkMkxyOB2kiJogCikRmRSjEFBRWIXqNaAAHNPDMgKawesR29vNNG5gc8UpkbEbOKaHQWuIRNVPUAscflN4n/998y9fXUd0R5mPQkC1rfnzrO3OkzfL3LQLOIaHG9o89PKkjb1jgeWGcTaaM9z3FjREQs6leDpMETVhFFIiMu4UUJ3pR0BBa2iEH5rErcMjtqt+gvxcsdwAACAASURBVGo9QcJskrYamEZAEJpk7TolL8mTxuyr61BA9VshyFJwD48VL8CpgXXwIF3FkxykcDqdIkpERMaGAuq4OafCytQ2junhBjbru7M8S8727fs/bsxR9lIsxUs8JTg0YhugEcT2D9I1CViMl3jcmONxY04BdQlOCqw2BZS0KZ7Op4iaQFqNEpFxpIA6bCW1xYf5B6ymC2RjdSwjwA9NikzxsDHP74u3edzofYjDVjPDw8Y8y/EdFpwyz93T9za1z4F6WJ/XHqiIUUCJwqk7iqgJpZASkXGigDrsR7knfLz8FVdTRdJ2g3IzSTOwSMSbvGU/Yzm+w41Egd8U3uPr6krPj/f74m1uJArcTj0H4KWbPbQiZRKw4JTJxWrcry3ymf9Wz485KAoomTSKp4tRRE0whZSIyPhZSW3x8fJX3M68pOimeLK7tB80QWDy9FXQ3E4952d5KHvJnlekHjfy/KbwHj/Lw7X4NnfTG5S8VrjFTJ+cXafiJbhfW+R/q38w8mPMz9tXNEoUUJNL8dQbRdSEU0iJyKjTKtRhH+YfcDVVpOimeNF4fahq4LwKKcz9W+6uxbf5ae5+X27r+7q6QtlL8tPcfW4lN8naNSwjoOY7PNub5mF9ns/8t0Y6oFatTT5K3OMN++X+hDsfk1KQ5IG3wGeNO4cm3EWZ4mlyKZ76QxElIiIjSwF12JxTYTVdIG03eLK7tP/xdkAd9NLNcje9wc3kJnOxClvN3p/Lx408jxt55mIVrie29odZjMM5UO/FHvNJ6guuW1tkzAbFIIUXWsQNl+VYkavWDjftAr+qfcCfmteHcNUXp4CaTIqn/lJEiVajRGQkKaCOW5naJhurU24mX9/Cd0JAQWtFquQlydk1rie2+hJRbVvNzKHvN+pT+FatTT5JfcFb9jOKwRSP3LlDe76eMMOiVeYt+xmfpKBUTUZ2RUoBNXkUT4Mxebsn5UTB9s5lX4KISMcUUCc7evDtaQHV1gwsLCPAMb2BXdOoBxTAR4l7rFhbFIMpNvzpY2PcA0w2/GmKwRQr1hZ/m/h+EJfbMwXUZIlVFVCDpIiSfQopERkFCqjTtQ++jZn+uQEFEDN9/NDEDQZzY8o4BFTeLPOG/ZKs2eC5f/bwiOd+lqzZ4Lb9krxZ7sdl9o0CanIonoZDESUiIiNjFALqMq3vzlJuJskmGpgEZ36uSUDOrlPyUjxuzPX9WqIaUHsZs6sx5jftAjmzTjFIHVuBOip4NWQiZ9a4aRd6vdS+aKYVUJNC8TRciig5RKtRIhJVoxJQl7UKBbDlZnjgX6HiJVhwzl4JOXjwbT/3Q0G0A6pbjuFhEeCFnf1MzdDGIsAxBneLZKcUT5NB8XQ5FFFyjEJKRKJGAdUZNxfj98XbPNmbJRersegUj61ImQQsOkVysRpP9mb5Q+l2n69hfAIKwA1tfExsw+/o82OGh4+JG17u7C4F1GRQPF0eRZScSCElIlGhgOpO++Db+7VF4qbH3fQGK4ktFp0iK4kt7qY3iJse92uL/KbwXl/OiGobt4ACeOjlKQVJps1aZ7dImnVKQYqH3uWdh6WAGn9afbp8GnEuIiLSoygElJuL7f//nRx8+4fSbQVUBwpBlgfeAletHRatMhv+6eddLVplykGC+94CheDsIRSDoHgafwqn6FBEyal0fpSIXLZRWIWKWkC1nXXwrfZAdeezxh1u2gXesp8BrSl8B4dMmAQsWmWmzV2+85b4XePNvjxuNxRQ403xFD2KKDmTQkpELosCqjMnBdRBRw++7f/jj3dAAaz58/yq9gGfpGDF2uId5ymlIEkztIkZHjmzTjlI8J23xK9qHwz9oF0F1HhTQEWTIkrOpZASkWEbVEDNJqqsZHZwTB83sFivzLDdGN13oOcF1OAff/wDqu1PzeuUqkn+NvE9t+0X5Mw6FgFuGGejOcN9b4HfNd4cakApnsab4mnw4pWz9zmeRRElIiKRMoiAupbe5sOlNW5kt8g6DSwjwA9Nym6CR+U5Pn+2ypPqbFff87JXoRRQJxtEQLWt+fOs7c6TN8vctAs4hocb2jz08kPfA6WAGm8KqMHpJZwOUkRJR7QaJSLDMIiAuju7wcer37I8VSLtNCi7SbzAxLGaXEmVWUqVuZ7Z5tO1u3y7vdzR92wH1JxTYWVqe3+/0fruLFvu4G9DVECdbJABdVAhyFJwhz84ok0BNb4UT4PTr3hqU0RJxxRSIjJIg1qB+nj1W27lCpTdBN/tXCEIX7/RfmZkmU9WuZUr8PHqt5TdxLkrUn42yUpqiw/zD1hNF8jG6q9XtppJ1qp5Pi+8wXptru8/DyigTjOsgLpMiqfxpXgajH6H00GKKBERuXSD2gP14dIay1Mlym6CF7XjKwdBaO5/fHmqxE8W13hy//SI8rNJfpR7wsfLX3E1VSRtNyg3kzQDi6TlciVRYilZ5PpUgU833uWb0rW+/jwKqJMpoGSUKaD6b5Dx1KaIkq5oNUpE+m2QQyRuZLdIOw2+27ly5udu1tO8NfOC1ewWs4nqicMm2itQHy9/xe3MS4puiie7S8dGXc8nKtzOvITlryg3kwNbkRq2KAbUJMQTKKDGmQKqv4YRT22T8eojfRVs71z2JYjImBjkGPOVzA7ZV3ugDt7Cd5Lg1ZCJbLzBSub4a1x7D9SH+QdcTRUpuileNHKHAgogwORFI0fRTXE1VeTD/IO+/TyXuQqlgLoczbQCalzFqgqofolXgv3/GabxfwWSgVBIiUivBn0OlGP6WEaAF3T2V50XWFhGgGP6J/76nFNhNV0gbTfYbJx97ZuNDGm7wY2pAnNOpetrP0oBddikBJSMJ8VTf1xGOB00/q9CIiISOcM4SNcNLPzQxDY7+0vWNn380MQNDkdDexVqZWqbbKxOuZk8tgJ1VEBryETOqbMytX2xH+AVBdRhCigZVVp96o/Ljqc27YmSC9P+KBG5iGEEFMB6ZYaym+BKqswzI3vmLX2mEZB1GrzYzbJeef26dvAsKMf0sIyAZtBZWDT3V7a8C/8Mlz1Iop/yVoUbTmF/HPwjN0/B7+7PwrgHlOJpfCmeeheFcDpIESU9UUiJSDeGFVAA2400j8pzLKXKzCerJ07na5tPVqm6CdbKc/tDJY4epusGNn5okrTcjh4/ZvrUfQc3uNhftZcdUP1ahboRK/A36XvcdDbJWTVsI8ALTUp+iofuPP9UvcOjZv7c76OAklGlgOpN1OKpTRElIiJDMcyAavv82SrXM9vcyhWA1hS+gytSphEwn6ySdRr8UMrzx+erwPGAAljfnaXcTHIlUcIkOPOWPpOAbKzO83qO9d2zz506ybgE1LuJx/w89yXXYttkrDolL4WHRcpwWUoUuRrbYdUp8OvS+3zVuH7q91FAyahSQF1cVOOpTRElPdNqlIic5zICCuBJdZZP1+7y8eq3LE+VeGvmBWU3gRdY2KZP1mlQdRP8UMrz6dpdnlRnTwwogC03w1o1z1KyyHyiwotG7tTHnU9UqHoJHu3m2XK7+9nHJaBuxAr8PPcld+LPKfopvq1fPRSeT5szXImVuRN/zs9zX1LyUyeuSI1zQCmexpfi6eKiHk9tiijpC4WUiJzmsgKq7dvtZcpugp8srrGa2yLrNLCMgLrn8GI3y1p5jj8+Xz0zoNo+L7zB9alC6xwoWlP4Tjonatqpcb+ywOeFN7q61nEJKIC/Sd/jWmybop/iWXP62K8HmPsfvxbb5q/T3/No53BEKaBkFCmgLmZU4qlNESV9o5ASkah6Up3lyf1ZZhNVVjI7OKaPG1isV2ZO3QN1kvXaHJ9uvAvLX3E1VeTt3DPKzSTNwCJm+mRjdapegvuVBT7deLerg3ajFlC9DILIWxVuOptkrDrf1q+e+bkvmlnuJp9yy3lJ3qrsP4YCSkaRAqp7oxZPbYooEREZmMtehTpqu5Hej6aL+qZ0jXIzyYf5B6ymC2Rj9dbKlu/wvJ7j0W6ezwtvdBVQl+1gQPVjEMQNp0DOqlHyUp2Ng/dT5KwaN5wChXpmbANK8TTeFFDdGdV4alNESV9pNUpE2qIWUGfpZBXqoPXaHOuP55hzKqxMbe+v1qzvzna9BwqicxZUvwZBOKbXii86HAcfWthGgDHls2croGS0KJ66N+oBBYooGQCFlIiMc0AdtOVmLhRNB0UloPo1CAJa4+C90CRldDgO3vCpmHHccPzeliiexpsCqjvjEE9t4/nPPSIicmkmJaD6ISoBBccHQRy9Da89CKLop/YHQZzmkZun5KfI2TVMzn7TZBKQidUpBSkeeuefFzVKFFDjTQHVuXglGKuAAkWUDEiwvXPZlyAil0AB1bkoBdTBQRAvmqcfSgytQRAZq74/COIkBT/DQ3eeip/kSqx85vebT1QoBwnuewsUgrMfe5QooMabAqoz4xhPbYooGRiFlMhkUUB1LkoBBb0NgjjNP1Xv8KQ5y7RVYylWPLYiZRJwJVFi2txl3Z/jd403L/YDRUwzrYAadwqozoxrPLWN383HIiIydAqozkUtoODigyAc0zv1cx418/y69P7+oIq7yaeU/RTN0CJm+GRidcpBgu+8JX5V+4A1f/5CP1OUKJ7GnwLqfOMeT22KKBkoDZkQGX8KqM5FMaDgYoMgdgMHNzj7bcRXjeuU/BR/nf6eW87L/ZHpFTPOk+YM970Fftd4c+QDSvE0GRRQZ5uUeGpTRMnAKaRExtcoBdRli2pAwetBEEuJIk+bM2fe0mcSkLVqbDSneeSePwjiUTPPo538/uG9xpSPG9o89PJjsQdKATUZFFBnm7SAAkWUiIhcwCjG02WuQkU5oOD1IIirsR2uxMo8a06f+rlXYmUqfpIf3AUKfud/Dgp+hqd2DvY6/pLIU0BNBgXU6SYxntoUUTIUWo0SGR8KqO7NxSpcT2ztH8r7uDHHVnPwz2MnAdX2T9U7rDoF7sSfA60pfAdXpEwCrsTKTFs17u0t8s/V7gZB7GXGZ5aV4mlyKKBON8kBBYooGSKFlMjoU0B1ZyW1xb9cWeNmYpOsXcMyAvzQpOyleNiY5/fF2zxuDOZspG4CCs4fBJG1alT8JPf2Fvl16f1TD9o9apziCRRQk0QBdbJJj6c2RZSIiHREAdWdH+We8Per33AtsU3GalDykjQDi7jlshQvsRzf4UaiwG8K7/F1daWvj91tQLWdNghiN3DYaE7zg7vAP1ffnMiAUjxNFgXUyRRQrymiZKi0GiUymhRQ3VlJbfH3q99wO/WcUjPFen350K1xTwlYcMrcTj3nZ3koe8m+rUhdNKDajg6CaN+C+MjNd7UHSgElo0oBdZzi6ThFlAydQkpktCigYM6psDK1vR8U67uzbLmnPy//cmWNa/FtSs0Uz93jQxoCzP2PX4tv89Pc/b5EVK8BdVDBz1CoX+z3XgElo0oBdZwC6mSKKBEROdWkB9RKaosP8w9YTRfIxuqv9zQ1k6xV83xeeIP12tyhr8nkG9xMbJKxG6xXl8/8/i/dLHfTG9xMbjIXq/Q0bKKfAdWLcQkoxdPkUUAdpng6myJKLoVWo0Sib9ID6ke5J3y8/BVXU0XSdoNys7WnKWm5XEmUWEoWuT5V4NONd/mmdA1ojTK/nnhK1q5R8pJnnrcErRWpkpckZ9e4nti6cEQpoPpLATV5FFCHKaDOp4iSS6OQEomuUQyoflpJbfHx8lfczryk6KZ4srt0bNz3fKLC7cxLWP6KcjPJg9giAI7pYRkBzaCzsGkGFpYR4Jjeha5VAdU/iqfJpIA6TAHVmdF/xRMRkb4a1YDq5yrUh/kHXE0VKbopXjRyx1aUAkxeNHIU3RRXU0X+xbW1/V9zAxs/NImZfkePFTN9/NDEDbr/d00FVP8ooCaTAuq1eCVQQHVh9F/1ZKQF2zuXfQkicoACqjVEYjVdIG032Gyc/XxsNjKk43v7e5oAHjfmKHspcnYdk7PfkJgE5Ow6JS/F48bcmZ97lAKqfxRQk0kB9dokxpNT8nFKnf1j10lG/5VPRp5CSiQaFFAtK1PbZGN1ys3z9zR5jn1oTxPAVjPDw8Y8FS/BglM+8+sXnDIVL8HD+nxX+6GiEFB7GXPkA6qZVkBNKgXUa5MWUL3GU9tov/qJiEhfKKBe63RPU+C0/go9aU/T74u3ebI3Sy5WY9EpHluRMglYdIrkYjWe7M3yh9Ltjq8vKgE16hRPMukm7fa9fsVTmwZLSCRoyITI5VFAHdbe05S03I4+P2b61Hzn0J6mx408vym8x8/yrXOg7qY3KHmt6X4x0ydn16l4Ce7XFvlN4b2Oz4hSQPVO8SRahZrM1ad+U0RJZCikRIZPAXXc+u4s5WaSK4kSJsGJt/S1V6Hae5qe7U0f29P0dXWFspfkp7n73EpukrVrWEZAzXd4tjfNw/o8fyjdVkANkQJKFFCTFVCDiKc2RZSIyIRSQJ1sy82wVs2zlCwyn6jwopE79OvtgILz9zQ9buR53MgzF6twPbGFY3q4gc3jxtxI7oEaVYonAQWU4qm/FFESKVqNEhm8buNpNlFlJbODY/q4gcV6ZYbtxuW8Kx10QLV9XniD61OF1jlQtKbwBZiHVqAWnDK5WI37tcVz9zRtNTMjfZCuAkpGnQJKAdVviigRkQnSTUBdS2/z4dIaN7JbZJ0GlhHghyZlN8Gj8hyfP1vlSXW2r9d3VrANK6AA1mtzfLrxLix/xdVUkbdzzyiFqZ73NHVLAdUbBZSAAmpSAmpY8dSmiJLI0WqUyGB0E1B3Zzf4ePVblqdKpJ0GZTeJF5g4VpMrqTJLqTLXM9t8unaXb7eXe762ToLtEVd7fpxufFO6RrmZ5MP8A67PbPe8p6lbCqiLUzyJtExCQA07ntoUURJJCimR/up2Berj1W+5lStQdhN8t3OFIHz9ZvqZkWU+WeVWrsDHq99SdhM9rUh1EmzXZkt8uhHyTenahR/nItZrczwoLTJX621PU7cUUBengJKDJnkVSgE1WIooEZEx1+0eqA+X1lieKlF2E7yoZY/9ehCa+x9fnirxk8U1nty/WER1Emxz6Xprb9LyV5SbSdZrc2d8x/5yczGgtz1N3T/m5QaU4knGxaQGlOJpOEbzlVImQrC9c9mXIDLyLjJE4kZ2i7TTYLN+9rvSzXqatNNgNbvFbOJi71aOBtvBgALwbIcXjRxFN8XVVJEP8w8u9DgX0Q6oYVJAXYwCSo5SQI2vKAQUKKIk4hRSIhd3kRHmK5kdsq9uqTsaNEcFr/YsZeMNVjLd/7d6XrAFsdc3S2w2MqTtBjemCsw5la4fq1sKqNHQTCugRNrGPaCckh+ZgAJFlIjIWLroGVCO6WMZAV7Q2V8PXmBhGQGO2f1fbGcF28GAAggwKTeT5Jw6K1PbXT9WNxRQo0HxJKeZxFWocQ6oqMVT2+i9asrE0WqUSHd6OUTXDSz80MQ2O/sL2TZ9/NDEDbqPgNOC7WhAtTX3g83r+rE6pYAaDQooOY0CarxEMZ7aRu+VU0REThTOZHoKKID1ykzrFj2njmmc/RezaQStlaS9BOuV7qdpnhRspwUUQGw/2AYzE0kBFX26fU/OooAaL1EOKFBEyYjQapTI2XqNp7btRppH5TmqboL55NnvSOaTVapugrXy3P6BuN04GmxnBZRJQDZWp+QmWd/t7wG/l0UB1R3Fk8hh4xpQUb1976jRegWViaaQEjlZvwKq7fNnq2zs5sg6Da6kysdWpEwj4EqqTNZpsLGb44/PVy/0OAeDbS5dP/Nz5xMVql6CR7t5ttz+jxof9iqUAqpzWn2STkzaKtQ4B9So0DlRIiIjrN8BBfCkOsuna3f3D8B9a+YFZTeBF1jYpk/WaVB1E/xQyvPp2t2eDtr9/Nkq12ZLrXOgaE3hCw78+55JwHyiwrRT435lgc8Lb/T88x3Vr4Cai3V2IK8CqnOKJ+mEAmr0jVI8tSmiZKQE2zuYs93vvRAZR4MIqLZvt5cpuwl+srjGam6LrNPAMgLqnsOL3Sxr5Tn++Hy1p4ACeGRe5dONEJa/4mqqyNu5Z5SbSZqBRcz0ycbqVL0E9ysLfLrxbt8P2u1HQF1PFPir6fvcTGyStWtYRoAfmpS9FA8b8/y+eJvHjfyrx7u8gBqleAIFlMhR4xhPMJoBBYooEZGRNMiAantSneXJ/VlmE1VWMjs4po8bWKxXZi60B+ooP5sE4JvSNcrNJB/mH7CaLpCN1VvB5js8r+d4tJvn88IbkQyod9Lr/Cz/J64ltslYDUpeKwDjlstSvMRyfIcbiQK/KbzHf7BWe7/oCxqlgFI8STcmZRVKARU9iigZOVqNkkk2jHg6aruR7ks0nWW9Nsf64znmnAorU9v7t8St785Gdg/U9USBn+X/xO3Uc0rNFOv15UO3Ij4lYMEpczv1nH9YNtjaTvOome/5cbulgJJxpYAaXaMcT22KKBlJCimZRJcRUP1ydDXrUbjElnv887bczECi6aB+7YH6q+n7XItvU2qmeO5OH/v1AJPn7jRhzOBabJu/Tn/Po53hRtSoBJTiSbqlgBpd4xBQoIgSERkJoxpQ19LbfLi0xo3s631VnhWj3LzPWnUwt+mdpZ9DJG4mNsnYDdary6d+XuAYvGhmuZt8yi3nJXmrQsEfzu+lAkpktCmgok0RJSNLq1EyKUY1oO7ObuxP+Es7DcpuEteIkTRdriRKLCWLXJ8q8OnGu3xTujbw6+nnGPPriS2ydo2Slzx0C99BgWO0/i8mZT9FzqpxwylQqA/+93MUAkrxJBc1CatQ4xZQ4xRPbYooEZEIG9WAupbe5uPVb7mVK1B2E3y3cwXPdvZ/vT26/HbmJSx/RbmZHOiKVL/PgXJMD8sIaAYnT9trB1RbM7SwjQDH9Pp6HSdRQMk4U0CNnnEMKNBhuzLidACvjLNRDSiAD5fWWJ4qUXYTvKhlDwUUtFZnXjRyFN0UV1NFPsw/GNi1DOIgXTew8UOTmHn8zcHRgAKIGT5eaOIGg/23SwWUyGhTQI2O6L/aipxDISXjaJQDajZR5UZ2i7TTYLOeJoidHg6bjQxpu8GNqQJzTqXv1zKIgAJ43Jij7KXI2XVMXr/pOSmgTAKyVo2Sn+KRO7jBElEPqGZaASW9GfdVKAXUaIn2K66IyIQJZzIjHVAAK5kdsq/2QB1dgToqwKTcTJJz6qxMbff1OgYVUABbzQwPG/NUvAQLThk4OaAArsTKVPwkP7gLAxkqsZcxRyKgROR04xRQTskf+4ACRZSMCa1GyTgY9Xhqc0wfywhwjc4iphlYWH3eLzTIgGr7ffE2T/ZmycVqXJkqHVqRgtYK1FKsyLRV40lzln+uvtn3axiFeFJAST+M8yrUuAXUpNBgCRGRCBiXgAJwAwvPak3h60TM9Kn7Tt/2Cw0joAAeN/L8pvAe/7DcOgfqbvIpZT9FM7SIGT5Zq0bFT3Jvb5Ffl97v+0G7oxBQIv0wzgE1TiYpoEARJWNEI89lVI1TQAE8CpcoN+9zJdFanTltBDi82i8Uq/O8nmN9d7bnxx5WQLX9B2uVre00f53+nlvOS3JWDdsI2A0cNprT/OAu8M/VNxVQInKicVmFmrSAAkWUiMilGreA8rNJtlxYq+ZZShaZT1R40cid+vnziQpVL8Gj3Txbbm/PxbADys21xps/auZ5tJMnb1W44RRwTA83sHnk5ge2ByqqFE/Sb+O8CqWAGm2KKBkrWo2SUTKOAdX2eeENrk8VWudA0ZrCd3BFqn1O1LRT435lgc8Lbwz9envRDqiDCn5m4AfpKqBkkiigom1S46lNESVjRyElo2CcAwpgvTbHpxvvwvJXXE0VeTv3jHIzSTOwiJk+2VidqpfgfmWBTzfePfeg3TmnwsrU9v4qz/ru7KGVq2GuQp0UUMOggBIZDwqo8aCIEhEZonGLJzgeUG3flK5Rbib5MP+A1XSBbKyOZQTUfYfn9RyPdvN8XnjjzIBaSW0d+3o/bI1FX6u2vv5BbHFQP9oxCqjDFE8yKOO6CqWAGh+KKBlLWo2SKJqkgGpbr82x/nju3JWkk/wo94SPX61kpe3G/kpW0nK5kiixlCxybWaH3xTe4+vqSj9/rBMpoA5TQIl0RwE1XhRRIiJDMIkBddCWm+lqcMRKaouPl7/iduYlRTfFk92lY3uq8ukqt1PP+Vkeyl6Sx43+TsA76DICSvEkk2ocV6EUUOMnmq/QIn2gA3glKsYxoAbtw/wDrqaKFN0ULxq5Y2PSPcfmuTtNqZniWnybn+buD+xaFFCvKaBk0BRQ0aSAOi6ar9IiImNiXAOqm1Wobs05FVbTBdJ2g83G8ecvcF7/1fXSzZKxG9xMbjIXq/T9WhRQrymgRLqngIo2p9S88Nfqdj4Za9obJZcpCgE1m6iyktnBMX3cwGK9MsN2o7d3w4MMKICVqW2ysTrlZvLYCtTBgAIIMCl5SXJ2jeuJLbaa/XvOFVAtiicZlnFchRp14xpQvcRTmyJKRGQALjugrqW3+XBpjRvZLbJO4/VUOzfBo/Icnz9b5Ul1tuvvO+iAAnBMD8sIaAaHI+ZoQLU1AwvLCHBMr2/XoIBqUUCJXNyor0IpoM6miJKxp9UoGbbLDqi7sxt8vPoty1Ml0k6DspvEC0wcq8mVVJmlVJnrmW0+XbvLt9vLHX/fYQQUgBvY+KFJ0nL3P3ZaQAHETJ+a7+AG/fkrTQHVooCSYRq3VSgFVDT1K6BAESUTQiElw3LZAXUtvc3Hq99yK1eg7Cb4bucKQfj6DfozI8t8ssqtXIGPV7+l7CY6WpEaVkABrO/OUm4muZIoYRLgOaf/VWUSkLPrPNub5nHj7AN7O6GAUjzJ8CmgokPx1LlovXKLiIywyw4ogA+X1lieKlF2E7yoZQ8FFEAQmryoZSm7CZanSvxkce3c7znMgILWOPS1ap6qlyCfPvvd1YJTpuIleFif73k/lAJKfKyTuAAAIABJREFUASXSKwVU9AwioEARJRNEI89lkKIQULOJKjeyW6SdBpv1s98Nb9bTpJ0Gq9ktZhOnh8qwA6rt88IbrHtz5GI1Fp0iJoffmJgELDpFcrEaT/Zm+UPpdk+PN+kB1UwroORyjNMqlAIqegYVUKDb+UREehaFgAJYyeyQfbUH6ugK1FHBqyET2XiDlczOiRP7LiugAB7EFvlN4T1+lodr8W3upjcoeUmagUXM9MnZdSpegvu11uf1ctDusAMqSvEEiieRSaeAuhhFlEwU7Y2SfotKQAE4po9lBHhBZ2/Svf2pdsf/Ar3MgHJzMQC+rq5Q9pL8NHefW8lNsnYNywio+Q7P9qZ5WJ/nD6XbCqgeKKDkMmkV6vKNY0ANOp7aFFEiIhcUpYACcAMLP2xN4euEbfrUPQf3yCjxKARU2+NGnseNPHOxCtcTWzimhxvYPG7MjdweqCgFlOJJpH8UUNExrIACRZRMIK1GST9ELaAA1iszlN0EV1JlnhnHh0ocZBoBWafBi90s65WZ/UN57bSFG9is786y5Q73ZzwaUAdtNTMjfZCuAkrksHFZhVJARccwAwoUUSIiXYtiQAFsN9I8Ks+xlCozn6zyopY99XPnk1WqboKdvST/euUeN7JbZFLN14fyNpOsVfOtAQ+13keHn+esgOr/YymgRKR3oxpQ42jYAQWKKJlQWo2Si4pqQLV9/myV65ltbuUKQGsK38EVKdMImE9WyToNthsplqdK3J19wVTCpdxsDW5IWi5XEiWWkkWuTxX4dONdvildG9g1Dzug8laFG05h/9bAR26egj+Y39eoBJTiSaJkHFahRjmgxm0V6jICChRRIiIdi1JAtW+/c0wfN7BYr8yw3UjzpDrLp2t3+Xj1W5anSrw184Kym8ALLGzTJ+s0qLoJXtQyxEyfxakKRX+K9dIcwYFTL0wC5hMVbmdewvJXlJvJgaxIDTOglvI7/E36HjedTXJWDdsI8EKTkp/ioTvPP1Xv8Kh58SEVRymgRI4bh4AaZeMUUJcVT22KKJlYWo2SbkQloK6lt/lwaY0b2S2yTuP17XdugkflOT5/tsq328uU3QQ/WVxjNff68+qew4vdLGvlOabjNf5i9gVFf4oXjdyxxwkw9z9+NVXkw/wD1h/3N6KGGVBvX3nKz3Nfci22TcaqU/JSeFikDJelRJGrsR1WnQK/Lr3PV43rPT+eAkpkfI3qKpQCqr8UUSIi54hKQN2d3dhfYUq/Og/KC1rT+K6kyvz/7N1ZbyNpfu/5bywMkiEuWigppdSWqsys7nR3VaWXqm736TMuj0/VQaEBj9HHxlwOfDUvZV7C3MxczZU9PoaBRgPVMFyAl25XYeysKndnn1JmpdZMbRSXIMUlGMtcMKXUQlGURIoR5P8D9EUrKfKhspCMn35P/J8Z02IhmePTtUc8zc2y9Xy8ZWMF8L/9zq8YidlsFtsHo/1aku+kt1kcyTJhlG592EQ3zGTy/CT9JQ+jOxRck6fVu6dat5eNMaYjFg+jO/wk/SVF17xRIxWEACXhSQTRILRQEqD6LwgBCiREiSEnbZS4TFAC1Fwix8dLT1lOZ7HsGN/kp0/d67StpJiMl1lOZ/l46SmWHWOrPE6uljh3kO67k5skzQZWI34qTLTi0RwykTaqzI/kuhaibquFstMaP0qsMBfJUXBNthuj5x7joR5/fS6S4w8Tz1jPXz1EBSE8gQQoIXpFAlT/BSVAAZd8egohxBALSoAC+GBmjdmRIpYdY7dyfny556vsVlJYdozZkSLv31m78LmODuVteJ1NqWscH8rr3OQtHLvNAJXRStwz9klqVXYbF08rBNhtpEhqVZaNPTJa6UqvJQFKiPYGoYUKIwlQvROMf/WF6CMvl+/3EkQABSlAjcfKLKYOSBg19qvtr5L3qwkSRo2l1AHjsdZXLbWYieurRNTOPlwjqovrq9jezTcv3GaAAlg0sqS1CkXH7Kx1c03SWoVFI9vxawUhQDUSEqCE6KUwtlASoHqr///yCyFEwAQpQAHMJ/OkXt8D1e4AXWg2UpYdIxWtMZ88/wsCNxVn83AcqxEnFami0v7CQMUjFalStJvfdxO3HaAADNVpTuGjw9bN19Cv0LoFJUAJEWRhb6EkQPVXEAMUyD1RQgByb5R4o1cB6qKR5J042n7neJ1dsDvH2+9Of4i6qTgAB3aStXKGmXiByVip5XS+I5OxEmUnxvph5kb3Q/UjQAHYno7jq5iK3dH3RxSXQ8/oqHWTACXE4JMA1V9BDVAgIUqIYxKkRC90MpJ8q9y+4bE9DddvTuHrhK66VB0D+8Q9T0cB6sjn2bdYGMk2z4GiOYWv1TlRo0aF56Upvine4b2x9eMDajcPxzsOVf0KUADrdoaiazITK/CyMdZ2S5+KR0qr8KoxyrrdfrBEvwOUhCcRFmFvocJmUAJUkMPTEQlRQgjxWrdbqKuOJL/IZmkMy44xbVpsK+eHSpykKh4po8buYep4nPnZAAWwWZng01fvwOzX3DULfCe9jdWI0/A0IqpLKlKl7MTYqaapuxE+vvtrUpHqmxDYiLNWzvB59q22h/D2M0ABZN0kq/YkdyN5piNWy+l8R6YjFiU3zgt7iqx78X8LEqCEGA5ha6EkQN0uCVFCnCBt1PDqdoC67kjyVnK1BOvWBDOmxWS8zG7l4ilzk/EyZTvGmjVBrpZoGaCO/KY4h9WI80HmW5YS2eOQVHUNdqppam6E8WiZ5eQ+Cb12HLLims10rMhMvMDCSJZPX73Db4pz556/3wHqyL+UH7JkZHkY3QGaU/jOtm7TEYtRrcJK/Q6/LD+48LkkQAnRuTC3UGELUIMiLAEKJEQJIQJg3Kwwny5iaC62q7FZTJOrmLf2+mcD1E3uXzpydiT5WUcjyYHjkeRbzy/e1vf59hILyRzL6ebUuP1q4lQoUxWPyXiZlFHjRTHDFztLbQPUkc3KBJsbE0wYJeZHcsfb9VxP4b/M/pqZeJGCbbJ1ONNyu9/95B7Mfo3ViJ9qpIISoADWGxl+VnyPn6S/ZC6S41H8JZZr0vA1IopLSqtQcuOs1O/ws+J7Fx60288AJeHpai77eYX54l70XhgD1CC0UGEKUCAhSohzpI26PXPpAh/Mb7EwlicVraOpPq6nYNWjbOTH+Hxzjq3ixduvuuFkgOrG/UtweiT5N/npto/dryZ4e2z3eCT5RWFtqzzOp2uPjrcHvj22i2XHcDwNXXVJGTXKdowXxQyfrj1iXb17pZ/DgZ08dY/Tf1v4grtmgYJtthw84aEef/2uWeCDzLdsbjRDVJAC1JGvawsUXZM/TDxj2dgjrVXQFY9Dz+BVY5QX9hS/LD+QABUSN/2ZXPT9Eq66R36Wt0cCVH9IiBJC9MWjqV0+eviM2ZRFImpj1aI4noYRcZhOlplJlpkfLfCLlQc83WsfRLqyni7dvwQ3G0nervF6mpvFsmO8f2eNpfSboFd1DHYPU6xZE3yxs3TlAHXWhFFiKZElodfYOpxp+9j9WpLvpLdZHMkyYZTYjl9tDPpEpMRC7OC4AduoTXDQuHxr5VUC1JH1Rob1fIaMVmLRyB6/5rqdufAeKNm+Fwy39XM4+ToSAoZT2FooCVD9IyFKiBakjeqtuXSBjx4+Y3kih1WL8c3+6WEJ2yWPyZEKyxM5Pnr4DKse7UkjddRCdfP+JejeSPJWtsrjbD0fv3DLYSdb+C4zP5IjFaliNeKdHVDbiJM2qtyZstgudRaiFmJZfjj6nHuxfVJ65U3r55is1ib5VeE+G7XWrdB1AtRJWTdJtnp5UJP2qX+C8P4bCQlS1xXWn5sEqNsX1gAFEqKEEH3wwfwWs6kSVi3Gbvn81ZLnq8dfn02VeH9+q+sh6uQ2vsvuX4qoLo6nAT4Pxvb4o/kV/p/f/uDC5+7GSPLL5GqJc61VNwIUNA+o1RSPRofraXgaSsQnEynxOLl2aav0vcQmn2S+Yi6WI6nVKDrNgRVRzWYmWmQ2mmcxluXn2Xf5dXn+1PfeNEB1SgLU7Qrqez5aV1hDgRhcEqD6T0KUEOJWjZsVFsbyJKJ1vtlvfxbP/qHJ25NZFscKjJuVrg2bOBmg2t2/NKLXmTJLJIw6huqgKD6JiM2Hc9+g4PPZ5tstG6mbjiS/jm4FKGgeUOv6KnGtswNqR2J14lqD/zLxaxxfbdsqLcSyfJL5ivvmDsWGyWZ19lTb9RKPKcPivrnDJxmwnPjx90qAGixheq/SSnUurD+nMLVQEqCCof/HrQsRUF4u3+8lDKT5dJFUtI5Vi3Z2v1A92rxfKF3szXouuH9pLFpheTTLlFkibVTRVQ8F8HyF0ViVH86s8ucP/51H46/OPefRSPKyHWMy3v6K4uxI8uvoZoAC2Dwcx2rESUWqqLS/sBgbKTMXy5PSKtyJFjA1GxUfU7N5e2SbH6VX+F/v/CvfS2wC8MPR58xFcxQbJjv26Lntgh4qO/YoxYbJXDTHD9LPAQlQg6KRePO/sAnrusXlwhSgBsEgBCiQJkoIccsMzUVT/dfb4y7nuBqa6mNo3fnN29lx5q3uXxrR68y9Dle2q1G04/i+cur7XF9pe4/UdUaSX0e3AxQ0J/WtlTPMxAtMxkotp/MBmHGbB+YuuuJScE3+ozTftlVS8bgX2yep19gstx/OsWeneJR4xb34PqnxStvDb7ulXwFq0C/MB/39iTfC2EKFLUCFvYUalAAFEqKEaEsGTHSf7Wq4noIRcTp6vK65VO0ItnvzJsIfS54byBDV7XP3L02ZJUzdxnY1qo5x6jlUxcfxVHK1EXTVu/CMp6uOJO9kdPpt+jz7Fgsj2eY5UDSn8J1qjQy4b+6Q0OuUnSjPK9MXtkoAc9Ec//P4b0jpFYpOZwMrik6cZLzKYi3b0SCIm5AA1X2D+t5ka5/oFwlQwSIhSghxqzaLaax6lOlkme2Sd/n9QtE6u6Ukm8XWbUin5tIF3n/w7NwZUHVHZyx2yIhus32YIqK6JIw6EdWlaJ9teXwiqkvFMSg3ojQ8re0ZT52OJL9ugOpFC3VkszLBp6/egdmvuWsW+E56G6vRHAChGx7jkUNGtDqOp/KscoeyG7vwuY5apbuxPBp+xwMrbE1Hx8NQOwvc1yUBqnsG8T21IkHqvDD+PMLUQkmACh4JUUJcQtqo7spVTDbyY8wky0yOVFpO5zsyOVKhXI+ynh+90VCJR1O7fPT9tQvPgIppDlGtwVLqgGLdxFAdGp52bgtfXG/Q8DTKdpS62zxQ9rIzni4bSX5dvQxQR35TnMNqxPkg8y1LiSypSBUl4mO7OranM2VA1TMuPdfpqFWKqzagoPiXhyjPUIgoLoeege317qOqHwFqEIPGIL6ny0iQCjcJUOKmJEQJIW7d55tzzI8WWJ7IAc0pfOfuFxqpkIrVeHEwzhebc9d+rbl0gY++v9b2DKi5RJ75ZJ6ZkSIxzUZRfLxTAconrjcwNBfLjrF3YmtZp2c8tRpJfl23EaCObFYm2NyYYMIocWfKOh5fnomU+JOJX6Pid/Q8DU/DU5qBaiJyyEu8C7f0eYaCikdKq/CqMcq63X6K43VJgLqZQXov4mYkTIp2BrGFAglRQnRE2qju2iqO8ouVB3z08BmzqRJvT2ax6lEcV0PXXFLROuV6lBcH4/xi5cGNzoj6YH6r7RlQnq+yUZpAVz2m4iWShk1cbxyHKFVpbuFreFpzgERpjMNG9Pj7r3PG003cZoA6aTs+fuog3cfJNVxfJdrhGPSI6lJxDbKNJIbiMmVYx/dLneQZzZ/7dMSi5MZ5YU91faiEbN+7mUF5H90gbVQ4SQt1ewY1QIGEKCFEnzzdm8aqR3l/fovFsTypaB1N9anaEXZLSdbzo3yxOXejADVuVli4U255BtRZa9YEiUiduqtjuyqpaB0Ax1Ob90DZUfaqyVMBqltnPHWqXwGqlY3aBJZjMhMttm2VoDmVL61X2a6P8vcHv8N/zfwH980doHm/1NH3HjVQ0xGLUa3CSv0Ovyw/6Oq6JUBd3yC8B9F9YQuREqBuzyAHKJAQJUTHpI3qvq3iKFvFUcbNCvPpIobmYrsam8V0Vw7WnZuzW54B1YrnqxzURqg6BmV7guX0Aa6vkKuNUG68uQfqpG6c8dSpfgYoO33+vR80kqzWJpmN5i9slY5MGRYlJ8ZqdZKvy4t4qHySaU7se5R4RdGJY2s6EcUlpVUouXFW6nf4WfE91hvd28on2/euZxDegxBhIwEq+CRECSH6LlcxuxKazmp1BlQ7R/c3/eZgFtfXWE5n0VXv3DS5bp3x1KmgBagjvyrcZzGWbdkqQbOBmjIs0pEKzyt3+NfifQB+XZ7HcuL8IP2c5fg+iXgVHY9Dz+BVY5QX9hS/LD+QANVnYV//bRnmLX1he99haaEkQIWDhCghrkDaqPDwx5LYXuHcGVDtHN3f9OpwlHVrIhBnPAU1QAFs1DL8PPvuuVap4WlEVJe0XqXkxHheucPPs++yUcuc+t6NWobUeIXFWvZ4YMW6nRmIe6DCGkDCum4hLhOWABV2wxKgQEKUEGIA+WPNi/DN0hiWHWPatNhWUhdu6YtqDZKRGtNmia3SGCU7yoviVE/PeOpEkAPUkbOtUkqvoCkeFddguz7KanWSfy3ePxWg3ryGRtZN9vQgXQlQnQnjmkV/ha2FCoswt1DDFKBAQpQQVyZtVHjkagnWrQlmTIvJePncdL4Rvc6UWSJh1ElGaqiKz6RZ4n+5/xXr1gSfby/x35//btfPeAq6TgPUkaNWaSJSYiF2cNwqbdQmLjxDyk73fprhbQeoMAaRMK45iIZ5S18YhKWFkgAVLhKihBAD5aiFOvL59hILyRzL6SwA+9UEnq8yFq0wl8xj6nXiegNQqDgRqk6EB6N7zJgWC8kcn6494mlu9tZDU79aqKsGqJMOGslLD95tvoYEqH4L23pFsIQpMEqA6r1hDFAgIUqIa5E2Kjy2yuN8uvbo1P1NdUcnY5Yx9eYZRzUnwqETZas0Rr5uHg+OWE5n+XjpafN8qB5u2zsrjAGq89doHaAyWolFozv3RkmAuliY1iqEEEEmIUoIMTDOtlBHnuZmT93f9PbYLlHVxXZ1So3YuTOgPF893vo3O1Lk/TtrbD2/nRA1bAFqMZLlR4kV7hn7pLUKuuLh+CpF12TVnuRfyg+vNKXvNgNUmAJJmNYqgk1aqO6TFiqcJEQJIQbCRQHqyFZ5nK3n4yyn9/jL7/2SqNZgozROyY61PAMKmlv/3h7bZSl1wHisPLBnQfUrQL0T2+An6S+Zi+RIalWKjomDhqnYzMQK3I3kWTKy/Kz4Hl/XFi59DQlQ54VlnUIMKwlQ4SUhSohrki194ZQ06jiexm4lfelUOM9XsewYqWiN+WS+pyFq2ALUYiTLT9Jf8jC6Q8E1eVq9e+qMqZeNMaYjFg+jO/wk/SVF17ywkZLte62FZZ2DYhiGS4Tp/YWhhZIAFW63P/tVCCG67LIW6qTrHsBrqL37sBu2AAXwo8QKc5EcBddkuzF6KkABeKhsN0YpuCZzkRx/mHjW8nkkQJ3XSIRjnUL0ShgCVJhJgGqSECXEDXi5fL+XIK7I9jRcX0VXO/uQ1VUX11exvd5MlBvGAJXRStwz9klqVXYbqZaPObLbSJHUqiwbe2S00qk/u+3te0EPJmFYowivMLVQYRDWFkoC1BsSooQQoXaVFgreHMCbMqqoSvsgpSoeKaOGVY+xWRqcrZv9DFAAi0aWtFah6JjnGqizPFQs1yStVVg0ssdfl/uf3pDwJMQbYWihwhqgxGkSooS4IWmjwuXoAN6yHWMy3v5Xq5PxMmU7xpo10ZP7ofrRQvU7QAEYqtOcwkdn7V7D19AVD0N1AAlQRyQ8idsSlhZKAlRvSQt1mgyWEEKE1lVbqCMnD+CNqC41V0cBPF+h3IjS8DQm42VSRo0XxQxf7Cx1dd0wvAEKwPZ0HF/FVOyOnjOiuBx6BranS4B6LchrE0IMHglQ50mIEkIMna3yOE/25lhKHTCXyBPVHVxPxfMVXF8B4KCa4EUxw6drj7p+0G6/7oPqtU4CFMC6naHomszECrxsjLXd0qfikdIqvGqMsmJMwi39ojmoISWo6xKDS1qo7glrCyUBqjXZzidEF8iWvtt33RYK4NH4Kx5PbaHg46NQcyJ4voKq+MR1p9lKofBkb46nudnuLZrBHSTRaYACyLpJVu1JSm6c6YjV9rHTEYuSG2dFmSbrtR9C0Q1B3SIX1HUJEQQSoHpHAtTFpIkSQgyVuUSOj5eespzOYtkxXlgZIqpLImKjKh6+D1HdwdQbPJ7a4nlhqmtNlASoN/6l/JAlI8vD6A7QnMJ3spFS8ZiOWIxqFX7rzfDPtQddW+9FghhSgrgmMTzC0kIJ0Q8SooToEjl89/bcpIX6YGaN2ZEilh1jt9JsNuquSt09HTSmTYvZkSLv31lj63l3t/PdpiAGKID1RoafFd/jJ+kvmYvkeBR/ieWaNHyNiOKS0iqU3Di/9Wb4u8pj1tzJLq/8tCCGlSCuSYigkRaqd6SFak9ClBBiaIzHyiymDkgYNb7JT7d97H41wdtjuyylDhiPlW88nW8QB0lcN0Ad+bq2QNE1+cPEM5aNPdJaBV3xOPSM5j1QyjT/XHswdAEqaOsRQlyfBKjBJSFKCNGRcbPCfLqIobnYrsZmMU2uYt76Om7SQs0n881zn+w4nn/J+US+2jxPKlpjPpm/UYiSAHWx9UaG9XyGjFZi0chiqA62p7NiTPb8HqighZWgrUcMtzBs5Qt6CyUBarBJiBKiiwZxS99cusAH81ssjOVJRetoqo/rKVj1KBv5MT7fnGOrONrvZZ4yHiszn8xjqC62p7FZGiNXS2CoLpri4XidzdRxPA1N8TDU638QSoDqTNZNkq02A3I9qfZ8Cl/QAkvQ1iNE0AU9QIWVBKjOSYgSQlzo0dQuHz18xmzKIhG1sWpRHE/DiDhMJ8vMJMvMjxb4xcoDnu613x7XDZe1UHOJHB/MrLGYOiBl1NAUD/d1o7RuTVCsx3B9FUPr7ENCV12qjoHtXS80SIC6mts6AypIgSVIaxHiSBhaqKALaws1bDSreu3vlRAlRJcNShs1ly7w0cNnLE/ksGoxvtlPndoCt13ymBypsDyR46OHz7Dq0b42Uo/GX/Hx0lNmR4okXm/Zc7xmYJo2LWZMi4Oa2Tx3yKiyraTabulTFY+UUWP3MMVm6ep/nxKgrmbYAlRQ1iFEGAW9hQprgBq2FuomAQokRAkhLvDB/BazqRJWLcZu+fwVn+erx1+fTZV4f36rpyGqXQt1dmz5N/np04FPSTEZL3M3UcTzFWxXZzJePp7O18pkvEzZjrFmTdx4qMRtkAB1uaAEl6CsQ4hWpIUaTsMWoLpBDtsVQpwzblZYGMuTiNbZP2w/PGL/0CQRrbM4VmDcrNzSCk87O7b8bMPk+Sq7lRSWHXt9wC6kjBrTpoWqnP6Npqp4TJsWKaPGq8M0X+wsXXk9t91CSYBqLygH1QZlHUKEmbRQ3TeMAeqmLRRIEyVET4R9S998ukgqWseqRTubYlePNqfYpYs9mdjXroW66tjy8dgh+5UEh06UTOyQt8d2sewYjqehqy4po0bZjvGimOHTtUdXPmi3Xwfq9sogBKggCMo6RO8MQoMT9PcgAUp0QzcCFEiIEkK0YGgumurjdDhQwXE1NNXH0G7vA+RoAt/bYzvMJfJUHKPjseUeKv+2u0DKqLGUfjOEouoY7B6mWLMm+GJnKRQBqpctlASowViDEEJcZNhaqG4FKJAQJYRowXY1XE/BiDgdPV7XXKp2BNvt/kX32Rbq7AS+8dghk/ESrq+i4rNXTXLYiF74fEdjy4t1k7/feHThOPSrkgDVuWEIUP1+fSGuSlqomwljCyUB6mYkRAnRI2He0rdZTGPVo0wny2yXvMun2EXr7JaSbBbTPV1Xqwl8+KAqPjHdRjFLJIw6W6Ux8vXW2wrPji3P1RKhGBxxlgSoi/U7wPT79YUQt0sC1HCSwRJCiHNyFZON/BjlepTJkfbDIiZHKpTrUdbzo12/H+pkC3VyAp/taXyTn+ZleZTN8hiWHafhqscDI+aSeUYi9XPPdzS23KrHrjW2/CKDNEgizAGq34Mb+v36QlyXtFBi0HW7hQIJUUKIC3y+OccrK0kqVmM6UW49xS5RJhWr8cpK8sXmXE/Xc9EEvroboWxHaXg6vq9guxqmbjMVL517jl6MLZcA1ZnbCFD91O/XF2JQBT1ASQsVfL0IUCAhSoie8nL5fi/h2raKo/xi5QEvDsYxNJe3J7PcTReZTpS5my7y9mQWQ3N5cTDOL1YedP2MqJMt1MkJfPvV81ere5UkFcd4PdjCx1AdEkadqNb8oOjG2PJWBilA9dIgByhpn0TYBb2FCjIJUMHXqwAFck+UEKKNp3vTWPUo789vsTiWJxWto6k+VTvCbinJen6ULzbnenrILsB8Mt/chmfHW96fdehE2SqNMZfMY+o2uuqRMqrMJ/JU3ciNx5YHQVjPghr0ACWE6J2gt1BiuEmIEkK0tVUcZas4yrhZYT5dxNBcbFdjs5juyZlQcH4in6G6aIqH4118QZ6vm9iuxpRZYtIsob3efnjTseUXuc0WSgJUa/0KMRKexFlhbXPCuu4gkBYq+HrZQoGEKCF6LsxT+k7KVcyehabL2J6G66sYWvsPgEMnyqoVxX/9//91e5lv8tPXHlt+kUE6UDeMAUraJyEGX5BbKAlQwdfrAAUSooQQIbBZGsOyY0ybFttK6tKR63G9wbP8FH+/8Z2ujy8fpPugJEAF/3WFGEZBDlBhJAGqN2SwhBAiUM5u5YPmWU7r1gRlO8ZkvP3+k15M4OsXCVCnSYASontkK9/1hLGFEr0hIUqIWxDmKX1B8fn2Eq8O06SMGtOm1Xrkeg99clhIAAAgAElEQVQm8J00KPdBSYDq/DUlQAlxu4LcQoUxQEkL1TuynU8IERitWqgjW+VxPl17xMdLT5kdKfL22C6WHcPxNHTV7fkEPglQ7Q1igBJiUEkLNRwkQPWWhCghRGg8zc1i2THev7PGUvqAlFFDU7xrT+Abj5WZT+YxVBfb0y4cQCEBqj0JUGKYSSDpHmmhxHXddoACCVFCiIBo10KdtFUeZ+v5eMcBqJW5RI4PZtZYTL0JYq6vYtkx1q0JPt/u3ij0q5AA9YaEJyF6Q0Lf1YUxQA1bC9UPEqKEuCWDMur8rNs8P+qkXC1xrcERj8ZfHW8JTLw+wNfxmuPTp02LGdNiIZnj07VHPM3N3loLNYwBKqNa3NOzGIqD7eusOhmyXkoClBBDKMgtVNgMW4DqRwsFEqKEENc0ly7wwfwWC2N5UtE6murjegpWPcpGfozPN+fYKo529FydtlA3NZfI8fHSU5bTWSw7xjf56VPj0reVFJPxMsvpLB8vPaVgjLJZCfeZUEEMUEvaPj+OrfCWvkdaraLh4aJS9OKsqFP8o/uQVW+yi6u9mIQnMUyC2kIFOUCFsYUaJv0KUCAhSghxDY+mdvno4TNmUxaJqI1Vi+J4GkbEYTpZZiZZZn60wC9WHvB0b7rfyz32wcwasyNFLDvGbiV17s89Xz3++ky6xAf2t2xuTPR8Xb1qoXoRoG7aPr0b2eBPzScsaAck1RoFz8TxNaKKzUy0wKyfZ1nN8rfOY750F7q06tYkQAkh2gljgBq2FqqfJEQJIa5kLl3go4fPWJ7IYdVifLN/+vDb7ZLH5EiF5YkcHz18hlWPdtxI9dJ4rMxi6oCEUeObfPtgt19N8NDcZ3Eky4RR4sDuXVM2TAFqSdvnT80nvK1vU/BGWLcn8F6ftOFFQHXHuKNYfEfb5s+Aoh/vSSMl4Ul0S1CbnVaCutYgt1BhM2wBqp8tFMg5UULcqkE4L+qD+S1mUyWsWozdcuJUgILXbU45gVWLMZsq8f78Vtvnu62tfPPJPKnX90CdXfNZjm5gNeKkjSrzI7merWmYAhTAj2MrzGsHFLwRXrmjpwIUgIfKK3+UvDfCgnrAj7VnN37NsyRACSE6EcYWapj0O0CBhCghxBWMmxUWxvIkonX2D9sPj9g/NElE6yyOFRg3K8ff/+7MNn8wt8W7M9vHX78NhuqiKR6O1/6fPS/SLOgbnoameBiq05P1DFuAyqgWb+l7pNQaO+6brZReix/Djp8ipdR4oO4xqVg3fu0jEqDEsJIWavANUwsVhAAFsp1PCHEF8+kiqWgdqxa9tM3xfBWrHiUVrfG7sy9Jx+rnh1CQuLWR4ran4frNKXwXrjny5p/EiOpSdQ1sr/v/TA5bgAK4p2dJq1UKnomH2jI8HfFQKfhxRpUK99Qs++75+9euYtjDk5PwW35dLyu3vBIhwiFsLdQwBaggkRAlhOiYobloqo/jdXax7rga6ViNP3rrBYbmnh9CMbJ3bqR4r2yWxrDsGNOmxbaSahsCVTxSkSo71TSbh7d/XlRQdPMMKENx0PBwfK1tgDrS8HU0PKLcrAkc9AB1UUC66fdKwLpcUNuds4K6zqC2UGELUMMmKC0USIgSQlyB7Wq4noIR6ezCdsSoMx6vkvI0dkrJ00MoohG2be/USHHLjvWskcrVmq3XjGkxGS+fm853soWajJUoOzHWDzNdHyoRlhaq24fo2r6Oi4qh29DBtVNEcaj4Ueo3+JgaxAB1k9B0k9eRUCW6KagBKoyGqYUKUoACuSdKiFsX5uESm8V0c4terI6qtP8QVBWPycQhuuaRrZgXD6GopLDsGLMjRd6/s9bD1cPn20u8OkyTMmpMm9bxezgKUCoe07Eio0aFl5VRPs++1dXXH9YABbDqZMirzS166iUpSsVjVKlS8E1WvcyVX6uRGJwA5ST8U//r9zpEuAS1hQqqsLVQwxSggkhClBCiY7mKyUZ+jHI9yuRI+6EQs8kSCuCjsG2daXOip8PEfjVBwqixlDpgPNa7T/2t8jifrj3iRTGDobq8PbbL3USe6ViROTPHd9LbRDWH56UpPn31DpuV7p0RNcwBCmDbTPHcm8LyY9y5ZFjEHcXC8mM886bY9692P1TYw1NQQtNFgrouER5BbaHCFqCGTdBaKJDtfEKIK/p8c4750QLLE83R3/uH5qmGSVWa50SNj1RwXJVc1exsCIUdIxWtMZ/Mk6v17kr4aW4Wy47x/p01ltIHJM0GGh5V12Cnmmb9MMPn2bckQHXRUbD5R/chy2qW72jb4DWn8Hknfpen4nFHsRhTD/kf7gz/5D641uuETRhDiZPwh3qLnzQ8ot+GqYUKYoACCVFCiCvaKo7yi5UHfPTwGbOpEm9PZrHqURxXQ9dcUtE65XqU3VICM9Kg0jA6el7neKR4738buFUeZ+v5OKMZh/mRHIbqYHs6m4fjcg9Ul50MNqveJH/rPObPgAX1gO+rLyn4cRq+TkRxGFWqWH6M/+HO8LfO444P2g1jeApjcDrr6D0Mc5gKsiAGPWmhumOYAlSQSYgSQlzZ071prHqU9+e3WDwxtrxqR9gtJVnPj2LVovxoaZ145Mw/9ie28kW1BomIjap4jEYrFOpx7A4n/3XDgZ3semi6DWEMUEe+dBco+nF+rD3jgbrLqFJFw6PiR3nljfHMm+Kf3AcDG6AGITydNeytlBCid4LaQoGEKCHENW0VR9kqjjJuVphPFzE0F9vV2CymyVVMxs0K35/ZYTpZZrvkndrSN6LXmTJLJIw6huqgKD6JiE1Ma/BOZouD6kjPz41yU/GePj+0b6EmIiUWYgfHLdhGbYKDxuWBLswB6siqN8mqN8mkYnFPzRLFoY7Oqpe50j1QYQlQgxiczpIgFSzSQnVOWihxXRKihBA3kquY5Cpmy69v5MeYSZaZHKmwW05ANMJYtMJcMo+p20RUl4anoasunq8Q0xu8k3lFJn7Y03Oj+hmgFmJZfjj6nHuxfVJ6BU3xcH0VyzFZrU3yq8J9NmqtJ9KFIUBdJdjs+6lrHaQr4Un0UxADStBJgOqOYQtQQW6hQEKUEH3h5fKo42P9XkbPnR1CcejHmEvmSRk1bFejaMeIaQ6gkK/HWbPGMfVGT8+N6meA+l5ik08yXzEXy5HUahSdOA1PI6rZzESLzEbzLMay/Dz7Lr8uz595zsEKUEF+jZsY5uAkbVQwSMgTgyDoAQokRAkheujUEIrxCkuJHaKag+srqIpP2qjR8LRmWCqNUbLjlOxmyDk6N2rreW+39XVbuwbqk8xX3Dd3KDZMNquzpybTvcRjyrC4b+7wSQYsJ35hIxVEwx6ghjk8nSRBSpwlLVR3DFsLFQYSooQQPXU0hOJ/+p2XjMfKxPQGthPB8xUqjkHZjrJXTXLYiB5/z341wdtju8fnRnVr5PlttFAX+eHoc+aiOYoNkx179Nyfe6jHX5+L5vhB+vlxiAp6C9XrcCPhKVwGOUgFveUJ+vrE9QxbgApDCwUSooQQt2BTnec/svDd8W1qrkGuZuL5CuVGlLp7vrnpxblR/dzGNxEpcS+2T1KvsVluf5/Xnp3iUeIV9+L7TERKbJvnA9dNSIDqDglPQlxOWihxVWEJUCAhSghxSwzVxfNVCvU4+9XLp9Dd5rlR3dBuEt9C7ICUXqHoxE9t4WvFQ6XoxEnrFWYn8mxXuxeiJEDdnISnzgxyGxVU0kJ1JmwBathaqDCRECWEuBW2p+H6KobW2QeCrrpUHaMr50b1uoW67EBdQ3XQFI9Gh++l4Wmoho+hOt1YHhCuACXhSYjwC2oLJYIrTC0UcMmvRIUQ4ob8sWbrtFkaa27RM6qoSvsPV1XxSBk1rHqMzdLNphj2O0AB2J6O66tEOmzVdMPD8VVsrzu/55IAdX1OwpcAdU2D9nMLctMTtLUFNUBJCyW6SUKUEOJW5GoJ1q0JynaMyXj7T/zJeJmyHWPNmujaUIl+2qhNYDkmab2KyiUXF4ZPSqtQdE3W7ZtP55MAdT0SnoQYLBKggi1sLRRIiBJC9NBRC3Xk8+0lXh2mSRk1pk3rXCOlKh7TpkXKqHFQM7HsGH8wvca7k5uMx67+q9YgtFAAB40kq7VJSk6MKcO68HGeoTAdsSi5cV7YU2Tdy+8da0cC1NVJeBJhIy2UCLswBiiQe6KEELdoqzzOp2uP+HjpKbMjRd4e28WyYziehq66pIwaDVfD8xVM3eY/3f0WTfFwX0/rW7cm+Hx7qaMDeIMSoI78qnCfxViW++YO0JzCd2rIhOEzEykyqlVYqd/hl+UHN1pfWAJUkMKT6L5BGTARtKAirkZaKNELEqKEED1xtoU68jQ3i2XHeP/OGkvpA1JGDU3xqDoGdUcnFa2h4jNplrHsOI7XHEYxbVrMmBYLyRyfrj3iaa79qPBeumqAAtioZfh59l0+yTTPgXqUeEXRidPwNCKqSzJapeTGWanf4WfF91hvXH8rnwSozkl4EmEWtHAnLdTNDVuACmsLBRKihBB9sFUeZ+v5OOOxMvPJPIbqko5W+L3pDcZiVSw7xr6VwPPfhIFtJcVkvMxyOsvHS0+x7NiFjVQ/D9Vt59fleSwnzg/Sz1mO75PSK2iKR1mN8rI2xgt7il+WH0iAugUSnoQYDmFroUR4SIgSQnTdRS3UWbla4nhwxE8f/DuZ2CGWHWO3kjr3WM9Xj78+O1Lk/TtrbD0/H6KCto3vrI1aho1aholIiYXYAWrSw/Z01u1MoO6BGuT7nyRA3a6wb+kLWttzJGjrCmILFbYAJS1UuEiIEkL03XiszGLqgIRR45v8dNvH7lcTvD22y1LqgPFY+Van9900QJ100EiybY7CYXeeTwLU5SQ8CSFEMIQ9QIGEKCFEl3XaQp00n8w3z4Wy46e28LXivR4ykYrWmE/mT4WoXrZQ3QxQzee7+SHCR8IQoDp93iks7pElikMdnVUy7HG+mbwKCU9i0EgLdTlpoUSvSYgSQvSdobpoiofjdRYGHE9DUzyME4fXSoC6uX4GqHvs8yEr3GePUaroeDioFIjznCk+4yGrTF75tSVAiZsIWlgJoiAGqLAZtgA1CC0USIgSQnTRdVooANvTcP3mFL5O6KpL1TGwve6FkdsiAeq8x2zwU56wyAEpahQwaaAxgs1dCsyTZ5ksf8NjnrDQ0etKeBKDSoLd5cLWQolwkhAlhOi7zdIYlh1j2rTYVlJtt/SpikfKqLF7mGKzNAaEq4XqVEYrsWhkMVSn5eCJQQlQ99jnpzzhu2yTZ4SvmTh1fpbKGDNYfJdtfgoUiLdtpCQ8CXF7gthChS1ASQsVXhKihBB9l6slWLcmmDEtJuPlltP5jkzGy5TtGGvWBLlaIlQBqpMWajGS5UeJFe4Z+6S1Crri4fgqRddk1Z7kX8oPWYlNdW1N/b4H6kNWWOSAPCO8ZPTcn3uox19f5IA/4tmFIUoClOimIDY+QVyTuL5hC1CDRkKUEKIrrruV78jn20ssJHMsp7NAcwrfyUZKVTwm42VSRo0XxQxf7Czd6PUu048A9U5sg5+kv2QukiOpVSk6Jg4apmIzEytwN5JnfuSAv6s85qtGZ9va2ulFgLrKc05hcZ89UtT4mom2j90mxTu85AF7TGGdGjYh4UmI2yctlLiqQWqhQEKUECIgtsrjfLr2iI+XnjI7UuTtsV0sO4bjaeiqS8qoUbZjvChm+HTtEVvl8b4dqnt0xtPRVruN2gQHjYtDZKcN1E/SX/IwukPBNXlavXtqW9vLxhiTsRJvq9v8qQnFcpw19+qDFo70O0AB3CPLKFUKmKfeayve6yETo1S4R5Y9UhKeQiTsZ0UJ0W3D1kINWoACCVFCiC64aQt15GluFsuO8f6dNZbSB6SMGpriUXUMdg9TrFkTfLGz1HGAmjBKzI/kjsPO5uE4B/bla72ohVqIZfnh6HPuxfZJ6RU0xcP1VSzHZLU2ya8K99moZc48V2eDJH6UWGEukqPgmmw3zm9ra0Q0XrnNr89rB/yn2DPWDq8XooIQoACiOOh4NOjsZ9RAR8cjiiMBSvRUELfNBWlN0kIJISFKCBEwW+Vxtp6PMx4rM5/MY6gutqexWRrr+GDdefOADzLfspTIkopU34SdRpy1cobPs2+xWWm9feyiAPW9xCafZL5iLpYjqdUoOnEankZUs5mJFpmN5lmMZfl59l1+XZ5//VydhYOMVuKesU9Sq/K0erftY3fcFN8zXnJf3yOjWmS9q52hFJQABVBHx0FlBLujx0dwKOtRKhH56BJCvBG2ACUt1GCQTyIhxI10q4U6K1dLXBia2rVQv5Pe4uPZr7lrFkjoNaxGM+zENZvpWJGZeIGFkSyfvnqH3xTnTn1vuwbqk8xX3Dd3KDZMNquzp7fa4TFlWNw3d/gkA5YTP9dItbNoZElrFYpO621tbuTNNigPlaIXJ61WuKdnydqdh6ggBSiAVTIUiHOXAipjbbf0qXik1QqbyigvlM5/tkIMAmmhBsewBahBJiFKCDEw5s0DPp79mvvJPQq2ydbhzJlx2R6TsRL3k3sw+zVWI35hI3XSD0efMxfNUWyY7NitJ8gdfX0umuMH6ec8j053vG5DdZpT+FpsazsZoI40fB0ND0NxOn6NoAUogD1SPGeKefLMYLWczgfgRXxmvCIWcZ6pU+ypvQnuQkCwAkvQBDFAha2FGjaD2kIBl9zJK4QQbfSqhWqnXQv1QeZb7poFCrbJbi19rtnwUNmtpSnYJnfNAh9kvj3+s4taqIlIiXuxfZJ6jb1LWp89O0VSr7GYzpLRSh2/J9vTcXwVndMXA60CFEBEcXBRsf3Ofg/W7QDVSHTvOT/jIetMMMbh60bqzEWa7nLXKzBOhXV1nM+0h915YSFCQkLd4JAWarBIiBKiD9TxsX4vIZTaBagJo8RSIktCr7Ffax/u9mtJEnqNxZEsE0ap7TjzhdgBKb1C0Yl3OEHOJK1VWDSy7d/MCet2hqJrktYrxyHiogDV3NZWpeiZrDqXb2vrRYDqplUm+Rse81tmiNLgHV6yRJYZLc+iluVd7yUxHH6r3uGv9ce8UGUrnxD9IC2UuKpBbqFAtvMJIa6pHy1UO/MjOVKRKlajs7BjNeKkjSp3piy2S+MXPtZQHTTFo+FdPiTCMxQavoaueBhq51vtsm6SVXuSu5E80xGLLS4O2Xc0C8uL8dyZunSoRD8C1BQW98gSxaGOziqZU2c6tfKEBQrE+SOe8YBd0noVzfc4VHS21FGeqVN8pj2UACV6LmitT9DWEyRhC1DD1kINeoACCVFCiJC4bKT5VcIOQMPT0DoIO7an4/oqUa39BDnPaDZHEcXl0DOwvav98/ov5YcsGVnux3eY9RR23NS5+7nuaBaj6iHfODP8c+1B2+e77QB1j30+ZIX77DFKFR0P5/XZTs+Z4jMessrFI9lXmeRZIsOUV2LZzxL1HeqKzgslI/dACdFnQWyhwmTYAtSwkBAlhLiy226hOjkT6ijsxC8JO0ciqsuhEr007GzUJrAck5lokZd4l06QS2kVXjVGWbev1pqsNzL898bv8qeRJ8xrB3zPeEnRi9PwdSKKQ1qtYnkxvnFm+LvK47YH7d52gHrMBj/lCYsckKJGAZMGGiPY3KXAPHmWyfI3POYJCy2f4+jcpz01yR4SmoSQFupiYWuhhs0wtFAgIUoIMSA2D8exGnGmY0XUTsJOrMarwzE2au2n8x00kqzWJpmN5pkyrNbT+V63UNMRi5Ib54U9Rda9WhCoJ1W+aixQLMf5T7Fn3Nd3SatVNDxsP8qrxhjPnSn+ufYgUAHqHvv8lCd8l23yjPA1E2catDFmsPgu2/wUKBA/10j1+uDcKa/E77kbLPg5ANbVcf5dXZCG6xbp5db3+AWJhJbWpIW6GWmhBpeEKCHElQSxhQI4sJOslTPMxAtMxkrs1tIXPjaTKFNyYqxWJzloXP5+flW4z2Isy31zB2hO4TsKCp6hoOIxHbEY1Sqs1O/wy3L7rXZn1ZNvQseaO8na4SQZ1eKensVQHGxfZ9XJBPIeqA9ZYZED8oy0HFHuoR5/fZED/ohnxyGq1+Fp2cvy3xpP+IG3SsY7xKC5ddNGJ6uO8CvtHn8jwypEAAUl0AUxQEkLFWzD0kKBhCghbp1M5utcpwHqyOfZt1gYyTbPgaI5ha/VOVGpSJXnlTv8a/F+R8+7Ucvw8+y7fJJpngP1KPGKohPH1nQiiktKq1By46zU7/Cz4nusNzq/KD8ZoE7Keqm+HaTb6XNNYXGfPVLU+Jr2jd42Kd7hJQ/YYwqLV4nehvHfdTf43+1/5vveK0aw8YHG63O4TKqkvQp3PIsH3h7/Z+TH/LvWepuhGA5BCS2ivbAFKGmhBpuEKCFEx4I2ke+szcoEn756B2a/5q5Z4DvpbaxGnIanEVFdUpEqJT/O88odfp59l41a52Hn1+V5LCfOD9LPWY7vk4g3hyccegavGqO8sKf4ZfnBlQJUt/QjQAHcI8soVQqYHY5/j5PWKyxEsrzq4X1Py16Wv2z8isfeFjouRaJUlCg+zS1liu9jYpOgznvuFn/JrygopjRSIhCCEuiC2EKFyTAGqGFqoUBClBAioK7aQh35TXEOqxHng8y3LCWypCJVNMWj6hq8csdYrU7yr8X7VwpQRzZqGTZqGVLjFRZrWQzVwfZ01u3Mle+BgotbqKvoV4ACiOKg4x03PJepaxqa7xH1Ox//fh0fuis88nZQ8CkT5VCJnvpzX1E4JAo+xGnwyNvhQ3dFQpQQARa2FkoMPglRQoiO3GYLdd0AdWSzMsHmxgQTRon5kRyG6nAYj7FRm+joHqjLZN0k2erNnifsAQqgjo6DygiXT0T0Ij6G53Ko6NSV3n30THkl3nFfkvJr+PhUFOPCx1YwiNMg5Vf5vvuSKa0kwyaGUFCaHwjOWqSFuhlpoYaDhCghxMA6sJMc2M2LYjsd6cpz2unOWpd2BiFAAaySoUCcuxRQGWu5pc+LNIdHqL7HqF9hSx3lhdK7xmfZzzLjW/go2OjHW/ha8RWFuq9j4DLrWyz7WRmvLkQASQslgkhClBC3KKxDJcLUQrUiAao3z7VHiudMMU+eGaxz0/mOAhTAjG9hKXGeqVM9bXuivkPEd/EBr02AOl4jCh6g++6l2wydxNV+O6+Xb/53LXorKM0PBGctQWuhwhagpIUaHhKihBCBIQHqckEJUEc+4yHLZPku20BzCp+HeqqBmvEtxqnwW/UOn2kPb/6ibdQVnYaiofigcvkIdRUfFXAU7Xib4VXD0kVaPY8EKxFkQQtQYSMBarhIiBJCtBX0iXztSIDq/XOtMsnf8Jif0jwH6vvqFgXFxPY0DFxG/QqWEue36h3++hbOZHqhZNhWUiyTxaCBQvTCLX2K7xPFAXxeRpKsJMZxtN5eRB4FKwlT4qSgtFBBE7YWSgwXCVFC3JIwbuUL+za+oBjUAHXkCQsUiPOfoys88PYY86tovsehorOljvJMneIz7eGtTL/bU5N8rd3l+94rUn4N07fPT+d7/ddh+jb4UFTifBW5y552e/+9D1OY0suXb6vsh6AEl6CsQ1qom5EWavhIiBJC9N2gb+O7qSAHqCPPEhmekWHKK7HsZ4n6DnVF54WSufWJd59pD3nsbvKBu06COvg+h9rpc6JGsEl4dRqKym/0aT6LPrjVNR4ZpjAlxFVICyWCTkKUEKIl2cYXjG18YQhQTuLNvUd7arLvE+5eqBn+78gPMXyX7/mvSPt1Um6Nxut7niK+C/gcKlH+IzLD/zXyQ77V+3tGlJPwJEjdoqC0P0FZR9BaqLAFKGmhhpOEKCFEX3W7hZIA1fvnOnIyPN1UNxssJ+HxBXMcOH/Cn1e/5If2GpNeGcNvXpgdqhGyaoJfGkv8v/H3+h6gjkiQEiJ8hjFAiSYJUULcgrDdD3VbLVQ/7oOaiJRYiB1gqA62p7c8gDcIAapbbqN9uollL8uH7ul7qVxFJf96HHqn91K1moT3rZ7h/0j+CVNuid+3N1n0cuDDuj7G/xdZuNV7oDolQWp4SAvVWthaqGEkLVSThCghxMBo10ItxLL8cPQ592L7pPQKmuLh+iqWY7Jam+RXhfts1LrTSARlkETQA9Tvuhv8ufOERS9Hyq82p/qhEfMb3PXyLHh57nv7/LX+mH/XFi5Yy+UXgHtakp/HH7X8sym3xFvumwbsWy3T93A1SEEqiEMlghJegiBoASpspIUabhKihBCnhLWFahegvpfY5JPMV8zFciS1GkUnTsPTiGo2M9Eis9E8i7EsP8++y79rSzdaxyAHqG5u31v2svy584TvejvkMFlV7+Ipb352qj/GjG/xXW+HP3eeUFDMU43UTc9yesvJ8sf1Zzx09hjzqmh4uKjk1Tgr+hT/EH3Q121+gxSkxHkS5FqTFir4pIV6Q0KUED0Wtq18t+E2A9RCLMsnma+4b+5QbJhsVmfxeHNx+hKPKcPivrnDf51VOMglWG9c7+JZAlTnPnRXWPRy5DB5qY6e+3NPUXmpjIIHi16OD90VXqiZrhyE+3v2Jn9RfcKSmyftVcmrJg1FI+bbzDUKLLgF7jv7/FX8Mf9mzN/49a5LglT3SXh5I2gtVNgClLRQQv51FkIcC/NEvov8cPQ5c9EcxYbJjj16KkABeKjs2KMUGGEukuMPE8+u9ToSoDo35ZV44O2R8qtsK6m2j91WUqT8KvfVXcbjxRu/9ltOlr+oPuGRs0td0fkycpdVfYItbZRVfYIvI3epKzqPnF3+ovqEt5zsjV/zJroRGkWwSJALv2ENUNJCnSYhSghxq26zhZqIlLgX2yep19izL75Y9wyF3UaKpFZl2dgjo5W6usZODEuAAlj2s4y9vgfq5Ba+VlxDJa+bjHlV3nJvHmj+uP6MJTdPXjXZ0kbPvb6nqGxpo+RVkyU3z4f164VqIYJMWsVYPIUAACAASURBVCghbk628wnRQ2HayncbLdRtjzNfiB2Q0isUnfi5BuosDxXLNUlrFRaNLNlq5z+PIIwyD2qAajW6POo7aL6HzcVTEP0Tf7UNRUPDI+o7N1uLW+Khs0faq/Jl5G7bx75SU7zXeMnbzh5TbqmvwybCuq0vaEMlgtAABWEN4makhRJHJEQJIQZyGx+AoTpoikfDu/hi3TPeXOg1fA1d8TDUzi/WwxqgprC4R5YoDnV0VsmwR7Ot60Z4aje63EYnioPC+dfxW+TiiO9iKwZ15WYfWW+5WcZe3wN1WQPmKSp59U0D1u+JfUJ0i7RQ1zesAUq0JiFKiB4JUwt1G/pxqK7t6bi+SlSzW/75yQAFEFFcDj0D2+vsn8YwBqh77PMhK9xnj1Gq6Hg4qBSI85wp/t58yAtuNpXuotHlSa/GA/ZooGH6dVwU1pUxPEVtGZ4AVN9jzKuwFUnzrXazdUV9Bw2PhtLZOWDdasBE/wWhAQrCGiRAieuQFqo1CVFCDLlB3MZ3ZKM2geWYzESLvMQ7taXvbIBS8UhpFV41Rlm3L79YD2OAeswGP+UJixyQokYBkwYaI9jcpcCcludeo/25TJdpNbo8gc2sXyRNs5FKUMfExkfhD/1VvtLvYhFr+XyznkVRjfONPnXjNqiu6LioxPzWofqsbjVg3RDWLX1CDIphbaEkQF2s/58MQghxBZ0GKICDRpLV2iSz0TxThsWO3RylfTZAAUxHLEpunBf2FFm3/cX6ZQEqo1rc07MYioPt66w6GbLem8EW/WqgfsoTvss2eUb4monT94npo23PZerU2dHlGb/MsndA0q8TwcFGp46OjkucBlNeid9vbPBr/Q572pufkep7zHoWY16Fp/o0n0UfXHktZ32rZcirceYaBdb9sbZb+rrZgA2jIN0PFYQGKAhrkBZKiO6SECVED4RlK18YW6ir+lXhPouxLPfNHQD27BTeiYEGKh7TEYtRrcJK/Q6/LLe/WG8XoJa0fX4cW+EtfY+0+uYA16IX51tnin+qPeRZfPLG7+k6IexDVljkgDwjvOT0uUxexAdan8t0FSdHl6+qd0n5NZa9A8b8CnV0SsoIPgq+Coe+wbRXQsMj5dX4fXuTVX2Ckhoj4ruMeRWKapyn+jR/FX/clYNv97QkK/oUC26BWc9iSzt/PtWRVg3YlFviLffNkIxvtYzcKyXEEJAWSrQiIUqIIRXGAHWVFurIRi3Dz7Pv8kkG5qI5vpN+heWaNHyNiOKS0iqU3Dgr9Tv8rPjetQ/afTeywZ+aT1jQDkiqNQqeieNrRBWb2UiBu1qexViWv3Ue86XbeqvcpGJxTz0x7MHLsO+fHs1+3SES99kjRY2vmTj+ejM8nbatpHjXe8kDb48pr8Se2vl/J2dHl896RZJ+nTo6h0oU/0T+9BWFQ8VAUcD1FSK4jPg2BeLYisFWJM03+hSfRR90JUAd+YfoA+47+zxydoHmFL6TjVSrBuwtJ8sf15/x0NljzHsTjvNqnBV9in/o8hovIlv6ri4IDVAQ1iAt1PUNa4ASl5MQJUSXhaWFCpvrBKgjvy7PYzlx/uDOC5b9PdJaBV3xOPQMXjVGeWFP8cvyg0sD1EUt1JK2z5+aT3hb36bgjbBun94qt8UYU4bFd9Rt/gwo+nFWvTeN1D11n/+srXBf3WNUeXORXvDjPPem+Ef3Iave5LW3Ad4jyyhVCpjH62oVoKA5la6gmIz5VX7X26Dgm6fGk7cLVSdHl8f9Bmm/SgSn2UC1+NF5igIoPNMz3PWKvNJS/F3se+xqyZ61PN/qGf4q/pi/qD5hyc3zXuMledWkoWgtG7BRr3r82PTryX4NRSPm28w1Ciy4Be47+/xV/DH/Zsx3fb1CDJowBahhJi3U5SRECTGEwtZC3SRAHXkeneZ5fpqMVmLRyGKoDrans25nLr0HCtpv4/txbIV57YCCN8Ir9/wWMQ+VV35zq9yCesCPtWfHIeo9bYM/05+wqB6QVGoU/GZLFlVsZtUCc2qeZTXLX0ce84TrDXuI4vz/7L1bb2NZmqb3rLU3j5IoMUQxQ3FSKEJSVMZUVUZMwd3tPtRUJLoxGLiBRk4hEwZs+MZwX/reP8CAf4QB39g3mahpNKYBw5h2Rk11d9UcnKXM6p7MSikUisgKxYGiRIqSeNjcey1fUGdREkWRIrf4PVdVCm6SUmRI+9H7rffDxVDfGWM8SaB2cWzAXbvGf1v/gpqKHKonX9RZnjpzTUf9asolUJq4rZOiSowAT7s7snQcbS2+UvjKYVUP4+PwzhnhV9Hptj7PVvkiepuiTvCktsiDA+nS0QQM4C+3f8lD/x0FneTLyM1DqdVLm+aGKfHQf8cnlXmKOnEpiVS/00/noXqNpFDhRlIo4TREogRB6Di9Pgd1FG90/wxUPhg51yJdOF2gMrrEfTdHSlf5J2+86WPMjgO+tSl+oFeY1TkmVIlhVeMjd57vOW8omCFemAMJloXfkea6KvEg8oafAkUSLHP+M1U1XHw0Q3hnClTGbjFlC0QIiBDwmlE8HOK2zk1T4I4pMGOaN/g9VxkKKsFNU6DmaLAWQ/MbamUtcXzWVJKSjhExwaXWiS+5GZbczKnnnP6n7V9xNyhQ0Mmm56eM0nsfvxsUeFJbFInqI3otML1+feg/gZIUKhxICtUaIlGC0EHCMMoXtsW6nUihLsJZTXzTbp5RXaFokofb7nYwB96+2RnRG1NlpnWe9/Ub7ug1CmaokVQdvRbNK3cMC0yxxk9YbEuilslQJMENXUDbsRNb6UZslftBnhFqbBDnS3WTbR3b+3Nt06c2+OX0CIs6y21VYMxWaNRVNJe2JB415bKhElRUlIjd7EmdeM4ZaTo2mA02mfNzjJoKX0Zunvocr3WKR/UVHvg5ssFmV8sm5FyUIFwOkkIJZyHfiQVhgBjEMb6DKdR5aWUXVFQ1Frj69vjrmCZvv25dHAxZVWJG50ipKm+PlEccvf4NKVI0FtVmKZ3rcwDIkeLbWJaSSjBpT77+pt3gGo0mvTd69JBAQSN5WdFjrJPca/A7iD9s+NuRGV44aWK2kSxFTR11QKSUtQzZGnHrs6VivHZG9+rECzrRN3Xi94M86Z0zUKdVoUPj61LQSdKmwv0gf0nvsD/pl1G+XqdAvX59kBTqIgyyQEkK1ToiUYLQIcKQQnWbQRMoAM82Fri66vANQjOBAogonwDNNbXNmKpQtC0mWCQYo8w0579J94ctT505XuprXKPMTVNE28M3WElTY9JsEKPOOkleq9ETn++NSpGylb0Gv8ZrNJ5vt7jhq8gNPFxiGDJmmyFbY8RUydhtHCwFnWTJGaek4x1dqNspYrYhx3XV2n9DdeVc6jiiIISJMAmUILSKjPMJwoAQtjG+i3IRgToPy36GDZPgRqTIK9IY9IkCpTGMqQqvTZp1O9S4SW81wcLFxRCj9Zt0f3g/AXquM/yt84AJs8mkLXHXrLGqhtlWMaIE3DBFYvhsEmfJyVBS8ROf92CD31Q8x+vo0KE/3y1uKOgk/7L6W8bNNjF8qirCmkqyoRK8dkbZUlFuBcWOLtTtFDXVkOO49Vp6fMQGPRlHFI7T6xSo168P/ZdChQlJoYRWkSRKEDqApFD9lUJdVKBaTaEA8ibFkp+lZOJcd0onChTAdVWiZOMsmiw5myJAE2k1wcLHR1Nr8XdfBwXqnsnzP9Z/yZ8FvyVGgIvBxTJpN7lpN7AovtPXWFdDfKfT5NXZXeoeDtoJTkxeltwM/9vIn/K/jvwZX0RusaqHCVAUVIItHWPcbPOovkLM+h1dqNsplpwMBZ0gbcrHUruj9OM4ojC49JtASQolXFXkV2aCMAB0O4XqJ4G6KOcRqF3+rjrHtJtnLvYGYxotfAdH9DSG66pEWm/z22CSvwtm2bIxijbBDV3kd60kWFRYIc0yZ9+kHxSofx58x8f+PFNmndTOItwVNcoQHhNs7YnZr/UtPrCvGbK1M5/fRiDiB3icnbz8bfwBy+74mXXi/SRQ0CicWHCz3AmK3DClpu18u/TjOGIv6IfzUL1OgXr9+v1G2ARKUijhPIhECcIF6fcUKkxjfGE5B3WUF8EEP+MxHwWNPVA/0CsUbYK6dYkonzFVoWTj/DaY5K/8x3s7op6ZLLd0geuqxCv35Jv0SUqUiLNIlhzNSyh2OZpAfezP8755yzpJlvXhPUfPbIZJWyLDFrN2FR/FmC2jbfrEMgUb2U9eXkVGW0peWqkT70c+j80y46/y0H8HNFr4Dn5dtDXcMKWejiNmzSb3bL7lhcjC1abfUqgwMcgCJbSHSJQgCBein3ZC9UKgAOrD8GVwhw2b4E+cRWb1O8ZUI3Ep2xivTZpFk+Xvgtk9gQL4RTDHPZ3nQeQNlkYL39EEa5ISabb5hkl+zuk36QcFCuBJsMCUWWedJCu6+Z6jFdVYAvye3WRTxfYa/FbU8cfbHcdtN3k5qU68X9ktyfikMs/doMCj+goFnaSuHCI2IG3KbOhET8YR75k8T4IFZk2OtK20vBD5KtPrFKjXr99vhC2FGmQkhWoPkShBuACDnkL10xhfLwVql2UzwbKZYEKVmNZ5YvjUcFk2GVab1Jgvmwk+izzmpzT2QP2QFYokqOMSwWeMCiXifMMkP+PxqTuijgpU1mwya3KkbIVlffqeozcqxQdmhYJK8k6NMG3XwDQ+bpTek6d+SF4um92SjH4ZR8wGm/w39d/yob/AhN3CJSCvhlteiNwt+mGUb9CRFKp9BjmFEoFqH5EoQbiiiED1jlWbYjU4fewOGgI2zx2KJPgJi8zyjjEquBi2ibFCmkWy/JzZcwkUwD2bJ71zBqqVPUdFlcTF8B/0FFUbYcqsN8TKTVIPep+89JJ+GEe87+f5sLbIj7zv+KH3lhGqeLiUiBFTPmtqiJKKn7kQ+arS6xSo16/fbwIVphRqkAVKuBgiUYLQJv2eQoWFMBZJ7FI/u8SupWuXmWCZCbKUmOZAgkXmXGegDhKzPo41eLQmmB4OjjV8p8f5Bz3Dk2CBGf2u58lLP9GrccQfeb/bGymc9teI41NH46MZo8KQqZNSVZ7rcfJqeG9Ec3ch8iBIVC/ptUD1G2ESqEFHUqiLIRIlCG3Q7wIVphTqovTDGF+nrs2ROlOaDnKSQEFjz5GL4ZrdxhiNUYoScSqqubRGCdhWLjXlspC6xgJ/ELoiiKvIfT/PJ5V5Hvrv2FZRtlSUqA0oMIRVCoUlaT3Stsw9A552Kan43ojm7kLkbpZN9HqUb9Alpt9SqDAhKZRwEUSiBOGKESaBugrnoC7z2oOcJlD3TJ7fD5a5ZQuM223GbBmrNDWcxqJbNXpoma62hjFb5pUeY2H42t7Hw1YEcRX5sLbI3aDQKLTAIUqRGi5WNcTFothWMbAwYmvcsBuUVPzQQuR7Nk8O+XvsBoMucEeRFCo8SAp1cUSiBOGc9HsKFRZEoNrnNIE6uBcqaT0sijh16tYlSY1h6x0a/QKYtCU23AS/jU1cWJokveoc2WCTOT/HqKnwZeQm180mGjAcT37KKso1u82orZCwdSoqsjeiedJC5KvAoEtMP6VQYRMoSaGEiyISJQhXiLCkUCJQ7XGaPMHxvVD/n77NA7tK2pYxKAokSVDfG/3ylWYIj7Qu87Vzsba93eKDuQMNdgGagk6w4Gb5fEDPUV2E+0GetKlQ0I1ykACNASIc/+/AovBwiRGQokqFyKERzW7R61G+XtJrgesngQobgy5QkkJ1BpEoQTgH/ZxChUWgwkq/CxQ03wv13I5zzzRGva5RpoYLWCbsFiO2xnLkGl87F2vbO1h8MLpz019XDnHrcate5E5QZMZf5dPEY76I3m7rNTpFmJKymPVxMNRV45cGJR2jplyGKbNl7d5I3y4GhbIWbS2a/RHN50rkVeguYUuhBKETiEQJgnAmg34OKgwCddJeqLwapqZdbtoNRm2FmPUxRIhQY1tH+FVkin+b+H7bAnWw+KCgk3wZuXmoUv2lTXPDlHjov+OTyjxFnehJIhXGpKymXAI0cesBUFFRNlSCETySeGwTO/R4jcVXjRKRSVuitLN4t1ulEr1OoXqZBEkKFV4khZIUqlOIRAlCiwxyCtUpRKDOTysCBafvhdpUcX6r4iSsR8rW0K5hIthkTQ/xH2NTF5KHg8UHr5yxY39ulN77+N2gwJPa4qXLSpiSsoMsORkKOsGtepGXNo1RmtfOKKNBlbQtg4Uy0b2Wvig+ZRthyNYYwuMbfZ2nzlyvP40rR68Fqt8IUwolAiUC1UlEogShBQZZoAb9HFQvaVWgoLW9UBUVpRyNAo3UIkBdqHTgaPHBabzWKR7VV3jg58gGm5e6pDYMSVkzcs4IC26WO0GRG6bEK2eMzSDOc70/ojnONjXrEsHHwTJEHQV8o6/zmfv4yu6IGmSR6acUKkwCJQidRiRKEIQTGXSB6mUKdR6Bgp3RL6WJ25N/02oP/DVEbICnohcqHThafHAaRmkKOknaVLgf5C9NonqRlHXy3NXnsVlm/FUe+u8AeGNTh0Y0x0yZFDUiGDaJ84/ODX7t3OapM9dVger1KF+v6LW89ZNAhQ1JoSSF6jQiUYJwBoOaQl2FIolBESiA5ypDQSW4aQrondGvg8Rcj1RQxcFirWXCbPEqcpMlp/0b7aPFB2dRVw4OLVRuD1+wknur8aPtspOybpy7WnIzfJp4vDeO+IFZoaiSeDjUcAlQ5NQweTXM584s/4/7z7q6WLcf6LXICA0khRIGHZEoQTiFQRWoTtKrFGqQBAogp0dY1FnumAKTtsSKaqQrI06VG8EGo/VGqYQCYraORZE2FUZsre1FrEeLD87ixPTrotJ0lJ3nu19+d2lJWTfPXX0RvU1RJ3hSW+R7dpW0reBYw7ZyeeWOsaizXU+e+gUpk+gPwiZQkkJJCtUNRKIEQTjGVRjja5cwCtQuT505Zswq75u3YMBzNNP+OsPWI2p9PBwiBEStwUcxYbb4y+1ftl2o0Kz44CS0NaRNmVeRUZZSY+B2fwFszPo4TrBzSuhsWk7KjnAZ566W3AxLboYbwTb37P6o4HOVufTkaVBH+XpJPwlU2Bh0gRK6h0iUIJzAoKZQV0GgwtjEd1Sgsmbz3DfLz3WGz9zHfOzPM8c7pvwCrg3wlIOHQ4yAmnIp6BjLTpoo5kI39s2KD07ihimxEYnz7VCGnHs5N/1758SMD1ED9dP/u2j3nFizc1dx65EyjfHJAEVeJ4GLn7vK6ZG2k8OwM8gpVD8RthRq0JEUqnuIRAlCE0SgessgC9Q9k+dJsMCsye2NbQVKU9jZ+XPW2NavnTusDcX5Xzb/lhtBiUBpasrFAFsqxoZK8NoZpaTje9dc5Mb+aPHBa506lMJo1+eGXyJNha8j7/E0OXPu12iXpeh4IynzN3hpDSbCiSJ1KCk7xzmxo+euUmZnfNLuj09aGkJXIs4o1UtvKOwkg5hC9Vqg+imFCptASQoldBORKEEIEYNwDmqQBeqfB9/xsT/PlFkntbPzycMhbuvcNAXumAIzZpXP3Mf82rnT5LkaN1ubQYyCTrChYnznpNEKAjQlHaOiooeuuWihwtHig0f1lcZ5IFcRsQHpWpUNHefr2Ht8OvIBS9HxNr5K7ZFzR1iITXDHL3LDL/EqMgaR5onUDVNiQyf41s2e62twsKHwmilzP8gzbD3ipk6gFJbGDqcRU2NYeyhrueuvt3Xuyt0KZ1V/J+i1yAjhQwRKUqhuIxIlCEfo5xSqm/TLGF+7hF2g7pk8H/vzvG/esk6SZX34XI22aSZtiffNWz725ymq5KFEalegYP/GftUZ4a07eup76ET1+F7xAd/yoLbaaKazBk83ig++jU3wNDlzqQK1y+fJGWa8PA9rO0mZmzqUSGlruGFKpE2Zr933eBqbPdfz7zYUujbgvskzbspoLGCJWrOXRBkUCVvHsYZbZoO7/jq/ik539HMVOk+v5U1SKKFdRKC6j0iUIBygnwUqDGN8YWzia5dOn4F6EiwwZdZZJ8mKbr7PaEWNgYEps86TYGFPog4KFHSxevwkhn2WGGOJ3yfrb3LfW9vfkRQdv7QzUM1Yio7z6cgHfMJX3K0XeFR7Q0HHqSuHiG9JmzIbOsFz5xpfu9e5HRTIms2WdzvtNhROmC1StkZ052u4exbKotBYIhgCq3AwDJka/6z+ttufesfp1Shfr0WmV/STQIUNSaGEy0AkShBCgAhUd2hXhLpRIjFrcqRshWV9+j6jNyrFB2aFWZMjazZ5nRo69piOVY+fRZNq8pw70lNpasYXiVsUnQRPys8OJ2URzYafxsUSswF/4j3nJ975djstORkqymXclIlSx6IJ0FRxQO1LR91aXAIcLDF8bgbF0J6LGhQGVd6aEaYUSgRKUqjLQiRKEHbo1xQqLOegLkKYzkF1o8b8ns2T3jkD1co+o6JKkrYVpuI5XnN8JKzt6vFWCxU6vdfpEliKjrMUHT+UlE3VC/xo6zVps9X2bqecM8KGTuBg0ICHxm+WACoFVhGgMChumtK5xid7fR5q0FKoXgtUP6VQYRIoQbhMRKIEgf4VqG7TDynUoAsU7IzfWYNHa18LDwftBCeO3527erzVQoUQytNRdpOy+94a/2r7W6btGgU1dKHdTt/tjF/unoXC2kMpFNbiYnAwVIngEjBiq7wXbHbzUxVCSj8JVNiQFEpSqMtkcKt+BGGHfhaoQRjja5erIlCwv88oytm/8bURiDgBAfrU8bvPY7O8cNKkTZlbQRFtD9+YaWu4FRRJmzIvnPTphQrD/pUQqIN8WH7G3XqBgpPglTN2LK0zSvPKGaOgk3sV8CdhlKaGg49GAXF8ItbHtQER6xPHR2Gp4VLScXzl4FpDxmx3+bPsDJJCDS5hSqFEoITLRiRKEPqUQRCoyy6S6EeBAniuMhRUgjFbPiY7B7GR/fG7gk6cOn63Wz3+tfseMevzqL7CtL/GraDItL/Go/oKMevztfsenyYen3zu54rJE0DW32SutsqoqfLaTTVqz0/gtU4xaip7FfDNyOshqjqCj6asolRxafTyNZr56mjqOFSUi4/GsQZfafL6+Hk2YbDppxQqTAIlNJAU6nKRcT5hoOnXFEoE6mSumkAB5PQIizrLHVNg0pYaLXxHsDtf7vOM3+1Vj9cWeeDnGoUKGDwV5VVklG/dLE9PKk64gvK0y31vbWe3U6KlM2hnVcC/c0bYVHGSqk5dOZRUjKT1SODjWoOiMc43bD1StobCUsXlnZRKnMggplD9JFBhQ1IoEaheIBIlDCz9KlCDgAjUcZ46c8yYVd43b8E0Wvh2b/B3E6h29hktuRmW3AzZYJP7QX6/evykCu8rLE+77J5Bqx8UqBOW8MLZFfBLTobnzjhZs0XU1Ikon4g1RHba+AI0FksEi4PBAhEMQ6a19sRelkr0apSvF8gY3z5hSqFEoIReIRIlDCT9LFBXPYW67Crzi4pQu5xHoACe6wyfuY/52J9nyqzzgVmhqJJ4rkPED/b2GZ05fncCOWdkIIojWmH3DFrctPb5nlUBn3NG+CJ6m9umyESwyYj1iBAQoHbOSVncnb1RPhqDg4Plz2rfsuyOn/vv8qoziDLTTylUmARKaCApVG8QiRKEPkIE6mQue6HuReTrvAK1y6+dOxRVkifBArMmx5gutz5+dxF25KnfFuV2i6XoeKMC3t/gpTUdqYD/PDbLjL/KhzvnpjwcDAoFGMBHY1FYpVjTSdbVfmFFv0qUpFBCvyMplNBLRKKEgaNfU6irLlAXIUxjfO0K1C7PdYbnOsO1xEZr43cXYUee7ntrfFh+xtyBRbSB2lk4G5vg8+QMS9Hxzr52j9gVxUAprIW79XWeR0+WmFbPoC25Gf5d7AG/533HkK1TRxGohjgpLA6WqoqwpaIsORnWdZJH9ZW9woqTnrvX+6Eum0GUGUmh2kMEqoGkUL1DJEoYKESg2keKJM7mogLVeI7GDVWOFsbvLsKOQP2o8opPNr/ibn2dUVOjoBPUd0bdbvkb3PGLzHh5Ph35gC8St7r3frrMUVEcMVVSprGrKetv8010gg32//LbOYO2raO8dVIoLIHSxKyPotHQV1MuGyrBa2eUko4DnFlY0Ut6kUJJmURvCZNACQ1EoHqLSJQwMPSrQIUBEaiz6aRAdZUD557ue2t8svkVD2vvKDgJvoxdO7Jw1nDDL/Gw9o5P+IqikwhlItVMFGvKpeAkGfKLZIJt/qha5q0zjGejRGzAkK2R10PnOoMWsz5V5fKde428TpIy1Z1iCUVJx6mq6KHHn1VYIXSfQUy+rgKSQgn9gEiUIPSYMKRQF0EEqtXnuFyBgiMLZyPHa9WN0nsfv1sv8KT8LHQSdZoovoqM8Z0/yvdrb8mYMrfrG3jKJUDjqUb5Q0EnKerW/h3Vdq6NW4+qilJ1oqc+/qzCil6N8g1SCtVLJIVqDxGoBpJC9Z7BGrYWBpZ+TaHCIFC9KJIQgeoww/4xgTq2cPYUXrspRk2VB7VVsn7zhbP9ylFRPFoi4WKoa5c6GgeLh8OKk+K1kyJmfR7XV/jL7V/yI+93Z77WkpOhoBOkzelLk6H1pclC95AxvgZhEihB6CdEooQrjwhU+4hAnU5oBKoJ5184G2+c3/HWuvEuu8JZopgKqtyvr5MOKpR1lIpy2dIxltwMC+57fBm5SU25PPTf8Ullnvt+/tTXyzkjLLhZNnSCG6Z06mPPszT5MpEUSuhnJIVqIClUfyASJVxpRKDaZxB2QQ2iQGX9Tf7r8gv+q+rvyPjbNGoPzqauHBwbrvM7Z4niDb/EsKlR3ZEnT7vErE/KVIGdcUZnjILeryM/i89js7xw0qRNmVtB8Vgipa3hVlAkbcq8cNItL00WOoukUA3ClEKJQDUQgeof5EyUcGURgWqfMFWZi0A1oYk8HW2nG/e3+VWlHQAAIABJREFUuelvYFHEbMBrN0XJiZ/4lBEb4Gn3xPM7/UjM+jjWUG8iUAlTZ9RUiNmAvI4B7O11co6I5WudaqmOHBpV558mHvNJZZ67QYFH9RUKOkldOURs60uTe3EealBSKBGoBmESKEHoR8Lz01AQzkG/ClQYCFMTnwhUE5oIVNN2Ou1gUaRMlZt1y6ipshQZJ+8OHbu+cX6nyit3LFTFEjXlEuzUtR8lZarEbEBVOVjVkAeNJQACDstEY5yx9TryL6K3KeoET2qLPPBzjd1bl7E0OWTIGF/vCJtASQrVQFKo/kIkShAukTCkUBfhss9BtcOVFahTzj6d1E4XtYZbdUsEw1hQ4T5reMo5lkjd8Ets6DjfxibIuf1zfucslqLjFHSCW/4GL605NNLnWIu2FrMz1a6wRG3Alort7XE6yHnryJfcDEtuhmywee6lyYO2YPcykRQqfIhANRCB6j9EooQrR7+mUGEQqKteJDFoAgWn15jvtu6lgwoKy3BQ5YZf2pMovbMnKh1U+Dr2Hk+TM915/10i546wEJvgjl/khl869PkHSmGUwrWN38gPGQ9POWyoxLF9TnB2HfmJ78Hp8tLkDnHZo3wyxtc7wpZCCUK/IhIlXClEoNpHBOpkLipQlz2+t8vBdrovY5PH/rzkxFmKXOM+64wEVUZNDVXfoKYaf59pU2VDx/k69h6fjnwQqlG+XT5PzjDj5XlYewc0xNEoTUnHqSmHYVPDBlWiGIpOgtd69Nhz7NaRv4qMSh25EGrCJlCSQjWQFKo/EYkSrgwiUO0jAnUyfStQp8jTLq3UmOfdYTzlcsMvcateRGFJGJ+8O8Qrd4xvYxM8Tc6EUqCgMdL36cgHfMJX3K0XeFR7Q0HH99oGIzYABWvOEEuRcUr2+CjfZdaRD0KhhKRQQiuIQAn9jkiUcCUQgWqfqy5QFyHMAgWnt9MdpOTEKTlxPKWJmYCnQ/f5z/HbLEXHQ3UG6iS+SNyi6CR4Un7Gg512QscaXrujWDRxW2ddJ1h3EnDgS6ut4YYpkTZlvnbfkzrykCIC1SBMKZQI1D6SQvUvIlFC6BGBap9eVZm3w2U38YVdoOD0drpmWBRr7hD/OX6bXyXvtvkG+5Ol6DhL0XGy/ib3vbW9ooch4/Fn5cVGSlV+01YdeZgZhBRKCJdACfuIQPU3IlFCqOlXgQoDUmV+Mn0pUOeQp11Oa6c7SlhrzM9Lzh05lq4tR8cbKdV2vmt15K209F31Vj4Z4xNaQVIoISyIRAmhpZ8Fqt9TKBGok7kqAgWnt9MdJaw15p1gL6VSlXPXkZ/FfT/Ph7VF5g7siwrQFHSCBTfL5z3cF9WL5bqDQj8JVJhSKBGofSSF6n9EooRQIgLVO0SgTru+fwRql5Pa6XYJQ4350RG8bp3V6nQd+Y+83/FJZZ67QYFRU9kbFYxbj1v1IneCIjP+Kp8mHvOVN9Wx122FQRjjk9HBcAmUsI8IVDgQiRJChwjUxQhLkYQIFBcWKDi9na5x7qd/a8zve2t8WH7G3IEyiEDtpDixCT7v49bA+36eTyrzPPTfUdBJvozcPCSvL22aG6bEQ/8dn1Tm2VRDPNdX78xVr5AxvvAhKZQQNkSiBKFDiEA1RwSqDTogTwc5qZ3O027f1pj/qPKKTza/4m59nVFTo6AT1HdKMm75G9zxi8x4eT4d+YAvErd6/XaP8WFtkbtBgYJO8so5PkZplN77+N2gwBO1cGkSNQgpVK/oJ4EKUwolArWPpFDhQSRKCBX9mkKJQDVHBKoNOixQu5zUTtePNeb3vTU+2fyKh7V3FJwEX8auHUlxGiOID2vv+ISvKDqJvhLAbLDJnJ9j1FT4MnLz1Me+1ike1VaYdXJkzSY53V9/FxdFxvh6gwhUOBGBChciUUJoEIFqn7AIVLuIQLVOs3a6fuPD8jPu1gsUnETTMgyj9N7H79YLPCk/u7hEbXXux+H9IL+z5Dh5aiMiND6XokqSthXu2Tw5ur3M92qXScgYX7gEShDCzNXuUxWuDCJQ7RMmgWpHhkSgrhZZf5O52iqjpsprN3XqY1+7KUZNlQe1VbL+5iW9w7OJWR8HQ12d/e9H1cHDwbGGmL1a/w0MUiLULwIVNiSF2kdSqPAhEiX0PSJQ7SMC1Zy+EqhhXwTqAPe9tZ0UJ9FSilPQcdKmwn1v7ZLe4dnUlEuAJmJbSwSiBARKU1PdHQ6RFKo79JNAhSmFEoHaRwQqnMg4n9DXiEC1z0V3QbWDCNQ5EXk6Rsz6ONZQP0Ogdqmr3qY4zZboLjmZxpLjepGXNn3mkuMxW+aVHuO5ujrtfJctNIOUep1EmARKEK4CIlFC3yIC1T69WqbbDiJQwkFqyiXYaeFrhYgN8LR7sRSnjfNQZy3RXdNDbOgEN0ypaTsfNEb5Jm2JkkqwqLNdLZW4zBRqkISmn1KoMCEp1D6SQoUXkSihLxlEgeoUvRKoy2riE4G62ixFxxspjr/BS2vOTHHSpsord+xS2/laWaK7phJsqShZ0zCK17rJkmNT4hplvtHXeerMHXqNrNnknt1PuJ6rTEckK0uJafLE8KnhskyGHKefPet3ZIwvXCmUCNQ+IlDhRiRK6DsGVaA6kUKJQDXnIgIlBRKH6XZFes4dYSE2wR2/yA2/1LSdb5cbfokNHefb2MSlNQ62ukT3ttkgp4d55YxxzZR5VF/Zk62IDUj7ZUoqwTf6Op+5j/d2RN0zeZ4EC8yaHGl7YMHwTlr11Jk79z4pd0sxzSpPWGCGHGNUcDH4aIokeEaWp8yxzMSFvz4yxnf5iECFExGo8CMSJfQVIlC9QwSq2bWDmz4lhmuH/v90dZ2flJ4zvVnYW9YbqJ3xtdgEn3dwWe/nyRlmvDwPa++ARgvfsRTHL5EOKnwde4+nyZmOvG4rnGeJ7rD1+LU7wReRWzw4MPbnqSgrztgxKfrnwXd87M8zZdZJ2QpFlcTDIW7r3DQF7pgCM2aVz9zH/Nq50/J7fsx3/JR5plgjRZUiSeo4DOFxkyK3KXCPPD/jMfO0/rxHGSSh6ZcUKkwCJQhXDZEooW8QgboYYWniE4HqP44K01Eeb6/wr9f+iSmvyGhQpeAkqGtN0hpueRvc8YvMeHk+HfmALxK3Lvx+lqLjfDryAZ/wFXfrBR7V3lDQ8f0Ux1TZ0HG+jr3HpyMfXEzeznEe6txLdOsrZMw2/0fy9wH2Cij8apTnzuHxvHsmz8f+PO+bt6yTZFnfPCKOaSZtiffNWz725ymqZEuJ1OxWnp8yz/u8ocAQv2Ecc6CYV5NmkhLv84afAkUSHUmkLgMZ4wsXkkLtIynU1UAkSugL+lWguo0IVHeuARGo0zhLmg4yXV3nX6/9E+9XVim4cb5KXD98cx81TNY3eVh7xyd8RdFJdCSR+iJxi6KT4En5GQ9qq3vpl6ddXrljfBub4GkH069WOO8S3YJONurXgzy/ik6TcxrS5NaPX/skWGDKrLNOkhXdPOFaUWNgYMqs8yRYOFOi3C3FExaYYo0CQ6zQ5HnRex+fYo2fsNiWRMkY3+UTphRKBGofEairg0iU0HP6WaCuehOfCFSza6+mQJ1HnA7yk9JzprwiBTfOSnT02J8bpXc+vsHdeoEn5WcdE5ul6DhL0fGun8NqlfMs0YWd+nUO16+7W8f/7WTNJrMmR8pWWNanJ1xvVIoPzAqzJkfWbJ5aNpGlxAw5UlT5Daf/nbwhxQ9ZYZYcWUqhL5voFv2SQolACULvEYkSeooI1MUQgTqOCNRh2pUngIn6FjPVPKNBla8S10997JvICB/4b3lQWyXrb3a8bKIr0nTOavPdJbpx67X0+IgN8FT0zPr1ezZPeucMVCsJV1ElSdsK92yeHM2/Lo0yiTxjVCiSPDTC1/R5d0omxigzTf5cEjUoKZQIlHBRJIW6WrS3GVMQOoAI1MUQgTqOCNQ+ieHahQQK4F51nbGdM1Atja85Ccb1Nve9tQu9br+yu0Q3bcpoe/p/L4369TIFnWDJaYzdNUuhYH/BsEdr/y49WlswHMPHxVBv8XnruLgYYrT+368IlHAakkLtIwJ19ZAkSugJIlAXQwTqOH0hUH0iT50iZn1ca6ifIVC71JXGtYZUvLs3C70a78s5Iyy4We4ExVOX6ALcMCU2dIJv3ezeWaiT2FswbFu74YwSsK1OXjC8u1i3houPZogWkzN8tolR69NbAzkHFa4USgRqHxGoq0l/fqcUriz9LE8gAnUSIlAt0GOB6qQ87VJTLr7SDJnWPreINWzrk2/uL8p9b40Py8+YO1A00XbN+jlH+Xb5PDbLjL/KQ3+nfv2EJbppU+Zr9z2exmaBk1MogOcqQ0EluGkKaJs+c8HwmC3zSo/xXJ1eLLFMhiIJblJEkz51pE9jGKPCCmmWaW0P1aBITb+kUCJQgtBfiEQJl4YI1MURgTrOoAtUN+Rpl+fxaxSdOLe8Db6zo2fe3KeDCivRFM/j10hEalS2Yh17Lz+qvOKTza+4W19n1NQo6AR1pYkbn1t+52vWT2LJzfBp4jGfVOa5GxSOL9E1ZTZ0gq/d9/g08Zgl92whyekRFnWWO6bApC01WvhOYNKWKO0s3m1WKrGbQgHkSPGMLLcpMEmpaTvf3vNSokScRbItnYeSMb7LJUwCJRxGUqiri0iUcCmIQF0cEajjDLJAdVOedlmNDPMsnuG2t8FkfbNpO98uk/VNNpw4i/EMq5E2/0JP4L63xiebX/Gw9o6Ck+DL2LVDQvdyZ/lup2vWT+KL6G2KOsGT2uKxJbqvIqN862Z5GpvdE6jTUqhdnjpzzJhV3jdvwTRa+I4mXJO2xDXKfKOv89SZO/YcBwVq73mZ4x553ucN0GjhO7wnyjBJiTTbfMMkP2f23F+PbjPoAhU2JIXaRwTqaiMSJXSdfhYoWaR7MiJQLdADgboMeTrIz1P3uFdd4/3KKtBo4Tt2c1/fJO1X+SYxwb9P3Tv0XjuRRn1YfsbdeoGCk+BVpPkOpd2Pt1Sz3uYo30GW3AxLboZssLm3RLemXJaczJlnoJrxXGf4zH3Mx/48U2adD8wKRZXEwyFKwJgtU1IJvtHX+cx93NKiXYBlJvgZj/kpjT1QP2SFIgnquETwGaNCiTjfMMnPeNzSjqhOS82EKjGt88TwqeGybDKsWqlY3yVMKZQI1D4iUFcfkSihq4hAXRwRqOMMokBdtjztshy/xr8Z/z7/eu2fmPKKfFB5S8FpjNJFdkb4Npw43yQm+Dfj32c5fq2jr5/1N5mrrTJqqnwZmzz1sa/dFI9qb7pSs34SOWfkVGlqJYXa5dfOHYoqyZNggVmTI20b5762lcsrPcaizvLUmWsqUM1SqF3muUORBD9hkVneMUYFF8M2MVZIs0iWnzN76QI1rVf5sbPAjM4xphppXoCmaBM8M1l+EczxqnT+xb+doF9SKBEoQehfRKKEriECdXGuskC1S88FagDSp6PMD92k6CT4F6XnzFbzjAVV3J0SiZVoisV4hn+futdxgYLGKF/aVCjoFmvWdZy0qXDfW+vJQt6L8lxneK4zZM0m9+x+wvVcZU5drHsWy0ywzARZSkxzIPUh05PFuo+c7/jInWdKrzGiqhRtkrp1iCmPG7rILV1gxuT568hjvqrfudT3JgJ1fkSgDiMp1GAgEiV0BRGoi3PVBaqd6wZNoHotTwdZjl9jOX6NifoW96rr+zf38WsdPwN1kN0dSq3XrJ+xQ+mCo3znGd87Twp1lJweOXGR7vHXOTmFOva8pNqWpk6lUNN6lY/ceb7nvKFghnhhxvfPaVn4HWmuqxIP3Df8RRI2thK8CHqTSAnCeRGBGhxEooSOIwJ1cUSgjjNIAtVP8nSU1chwV6XpKHs7lFquWQ/wulCzft/P82FtkbkDRRIBO/XqbpbPDxRJXCbnEaiL0Mkxvh87C9zRaxTMEK9tkzNuaN56Y2gHbjtr/HF8kRfblyNRkkKdH0mh9hGBGiza/zWZIDRBBOriiEAdRwRqcFmKjlPQCdKmgran/11qa0ibKgV9QjtfmynUj7zf8Zfbv+RPawv8oP6GIevhYBmyHj+ov+FPawv85fYv+ZH3u71rLpJCXWUmVIkZnSOlqrw9oTxC79yTvw1SpHSVGTdHRpe6/t5EoM6PCJQwyEgSJXQMEaiLIwJ1nEERKJGn5uTcERZiE9zxi9zwS03b+Xa54ZfY0HG+jU107DzUfT/PJ5V5HvrvKOgkX0ZuHqlXT3PDlHjov+OTyjxFnbi0RCqMKdS0zjOmKhRtsunyX33gntyg2TAJRnWZaTdP3uve2S0RqPMjAnUYSaEGD/lVmdARRKAuzlUWqPrw5QqUP2xEoK4QnydneBFJkw4q3KoXjyVS2hpu1YukgwovImmeJmc69tof1ha5GxQo6CSvnLFj5RZGaV45YxR0krtBgSe1xUtJocIoUAAxfBwMddva96y6dXEwRFXvFloLwlmIQA0mIlHChdDX0iJQHeCqC1Q7XESgOsIlCFRiuCYC1QJL0XE+HfmAr2PvEbMBj2pvmPbWuFUvMu2t8aj2hpgN+Dr2Hp+OfNCxUb5ssMmcn2PUVHitT09BXusUo6bCAz9H1mye+7UGhRouAZqIOp646CbBRkT5BGg8273BGUmhzo+kUPuIQA0uMs4ntE0/yxOIQJ2GCNQpSPrUl3yRuEXRSfCk/IwHtdVGuYM1eNrllTvGt7EJniZnTl+ye07uB/mdevVki/XqSa7Vq9yL5Ftu1muHsKZQAMsmQ9EmuKGL/I703khfM4HSGEZ1hdf1NMt+d0YkRaDOjwjUPiJQg41IlNAWIlAiUN24Bq6+QIk8tc9SdJyl6DhZf5P73tp+zXh0/PQzUG0WSsTszuiZanH0LHBwOKVePUR0Q6AAVm2KZybLLV3guio1befb5bpTomTiPPOz5E3nz0OJQJ0fEShB2EckSjg3IlAiUN24BkSghNbIuSOXski3phqjZ3HrtfT4KAHbyiVpPf4gWO7YotyDXFYKdREmVIlpfWChr8mweqCJ7xfBHPd0nu85b8BAzksdKpnQGK47Jcb0Nt/6k/x9dbYXn4ZwBBGow0gKJYhECedCBEoEqhvXwNUWKJGnHnKB5bpLToaCTnCrXuSlTZ860ud4hqzdZAuPfxl8TSJoLAkOlKagEizqLE+dOZ7r9sfS+n2Mb1qv8mNngRmdY0zt79Iq2gTPTJZfBHMsmwmWzQR/5T/mI2DKrvH96AobJkHdukSUz6iuUDJxvvUn+evy464s2pUUSrgIIlACiEQJ50AESgSqG9eACJTQn+ScERbcLHeCIjdMiVfOyaNnD2yOEVvDxRC1PkWVxMMhbuvcNAXumAIzZpXP3Mf82rnTsfeYpcQ0B1IfMuRof/StXYF65HzHR+48U3qNEVWlaJPUrUNMedzQRW7pAvd0nr/yH/NlcIcvgztsbyX44/giM+47RnVDujwb43U9zTM/y99XZ0Wg+gRJofYRgRJ2EYkSzqTf5Qm6K1CdkicQgWqGCJTQNS6QQu3yeWyWGX+Vh/47oNHCdzCR0tYw4+WZMgUslnekea4zRx6TZtKWeN+85WN/nqJKnjuROppCTbPKExaYIccYFVwMPpoiCZ6R5SlzLNN5AWnGtF7lI3ee7zlvKJghXpjx/fE8C78jzXVV4nvOGz4CNmyCZTPBi2CCF9sTZHSJaTdPVPl41mXZz3TlDBSIQLWDCNQ+IlDCQUSihFPpd4EKS/oEIlDNuKoCJfLUoLIV6/VbuDBLboZPE4/5pDLP3aDAo/oKBZ2krhwiNiBtyiRtnTqa12qUZ0722HMYpVlRY2BgyqzzJFg4l0QdFajHfMdPmWeKNVJUKZKkjsMQHjcpcpsC98jzMx4zT+upV7sp1I+dBe7oNQpmqGlRhEE3Pm7gjl7jT5xFXpX2BS9vUl1dpNtviEAJwtVAJEo4EREoEahuXQM9FChJnwaDDqRQu3wRvU1RJ3hSW+SBn2vUq2PwVJQ1hritCoxYxbf6uEAd5I1K8YFZYdY0dkm1UzYxzSo/ZZ73eUOBIX7D+JFShjSTlHifN/wUKJJoKZFqV6AmVIkZneOa2uaVHeO62iBAsUmcqo0eeuxbm+IHeoUHJkdGl7qWNp1Ev6RQYUEE6jCSQglHEYkSmiICJQLVrWvalafGtf0rUCJPV5slN8OSmyEbbHI/yBOzPn41ypgq85H/Gyo62tIuqaJKkrYV7tnWdkkdTaGesMAUaxQYYoXmqc/ux6dY4ycsnilRF6kz/0NniR84K4yoKjM6j8JiUdRwKNkEb+womzax995KfoJRXWbazV9q+tQvAhWmFErYRwRKaIZIlHAMEajeF0g0rheBOnytCJTQIh1MoY6Sc0bIOY3vQW5d8y/8xcbSX1r79+rh4NjWdkkdFagsJWbIkaLKbzh9qfAbUvyQFWbJkaV0obKJk3jkfMe/cv+RjNrCJWBbKYzVOCogSY1h5ZGyVZZNhjXb+IZRty4Ohqja//y7fSZKBOr8SAq1jwiUcBIiUcIhRKBEoLp1jQiUcJVwtxr/1mrKJVCauG3tpnN3l1RNnf/H7zR5xqhQJHlohK8ZZqdkYowy0+RPlKiL1Jl/5M5zUxfw0dRw2LTxxh9aUFiS1BlTZaZ1Hs84bHsJIq6PZ2N41uWus8qfxBe47+b22vkCNBsmwZKf5e+qc3vtfO2KlgjU+RGB2kcESjgNkSgB6H95AhGos7iKAtXPBRIiT6fTs1KJLqZQzXiuMhRUgpumgD5jl5S2hjFb5pUe47k6vVii2U6oGD4uhnqLqVcdFxdDjOb/Bi4yxrdbJrFqUli9SVqV90b5ACyKbaJgYVjVuGFLLBFjVFd4XU+TUDX+h+F/5I6zxoiuUjRJ/N1K9EiRm06BaTfPf6pNM+FstiRa/YoIVDgRgRLOQiRKEIFCBKqb14hACVeN3RQKIKdHWNRZ7pgCk7bUaOE7gUlborSzePe0UomTlurWcPHRDOG19D4j+GwTo3bBH/UTqsS03t9FVbJxZnSOlKryj+YmUeszrDwSeJQ5LM9lIozbbVKqwm13jZKJs2aG+El8gQfuG4pmiJfe4XKMV6S57pR4FHnJ48hLtmyMqApOFK2/Lj/mq/rxFsKzUqiMs8lUNE9U+3jG5aWXIR9092dNPyMCtY8IlNAKIlEDjgiUCFQ3rxGBEi6VS0ihDgrULk+dOWbMKu+bt2AaLXxHd0lN2hLXKPONvs5TZ66t114mQ5EENymiSZ860qcxjFFhhTTLHE+9WkmhpvUqP3YWmNE5xtR+CuQSMKk32LZRDJo3ZoyUqjKmymChQvRQIuXhkNIVFJb5+hTaWm47axTNEK+D5uUYmzbGPVVnWFexgWLeu9NUtB64b/iLJGxsJQ4lUqcJ1FQkzx8NLzAdXWXUKeMqg281G0GSZW+Cf9ia42X9fHu8TiIsKZQIlCCcH5GoAabfBarb8gQiUN285qpVmIs8tc5V2A91Hp7rDJ+5j/nYn2fKrPOBWaGokng4RAkYs2VKKsE3+jqfuY9P3RF1UgoFkCPFM7LcpsAkpabtfLtMUqJEnEWyx85DtSJQj5zv+MidZ0qvMaKqFG2S+k4KdFMVGFY1homQVyOs2WGWTYZpnWdY1bjGNh4ugVU41pLUdXyreR2M8e+rD3gS/4aUrvJP3snlGLecdWKqjoMlruqM6AobZmjvzw16T8BuO2v8cXyRF9sNiTpNoH4Y/44/H/2SW5F1RpwKG34SH4ek8piMF7kZKXA3mudvNh7xm2rrO7aaERaBEg4jKZTQKiJRA0i/yxOEJ30CEahmiEAJl06PUqhdfu3coaiSPAkWmDU50raCYw3byuWVHmNRZ3nqzLUtULs8ZY575HmfN0Cjhe/wnijDJCXSbPMNk/yc2UPXt5pAfeTO8z3nDQUzxAtzYNzOQlU5fF+/YVjXmCaPF7is2WG8wGVSb5BSZWIEaGvx0VRshA2T4P+u/ICyjTKqKxRN83KMEVXltrvGLWeduPIxwKgu8/3ICrkgxdtgbL/AAngbpPh+dIUZ9+zdU1ORPH8++iVzsbcUgyRfV24eeg8r9TTvRUrMxd7y56NfshEk206kwiRQkkLtIwIlnAeRqAFDBKp/BKpdeQIRqKaIQAld5DSB2uW5zvBcZ8iaTe7Zxi6pmnJ5rjJtLdZtxjIT/IzH/JTGHqgfskKRBHVcIviMUaFEnG+Y5Gc8bmnR7lF2SyMKZojX9njatUGSDeJk7SbDqsqk3mDTxNkkzqaJE8djNKjiKIuxcNMt8F/qt/gP3n0eRN7iYPDt8e9/43qLKTdPWm8T1z7WAig0lhFdw1EbjOgqL/0Ma6bxzcnslEzs7p7aXDv5m9YfDS9wK7JOMUjypt58jHD347ci6/zh8CIvC+eXKBGocCICJZwXkagBQgQq/ALVjjyBCFQ7iDy1R09G+S65ke8scnqkpUW6B2klhdplnjsUSfATFpnlHWNUcDFsE2OFNItk+TmzxwSqlRRqQpUOlEY0H7er2iglm2BY1UhSJ6UqxPGoEm38OVE80/jfN5wiBTPEMz9L3qSYtnkCNDF1uBxjRFWZcvOM6TIGhWc1CoXCNpb0mhgKGNNlcPN4dXcvkdrdPTVUPVkIMs4m09FVRpwKX1dunvo1eFdP8TCxwr1ojoyzeWXLJkSg9hGBEtqhv37yCF1DBEoEqtvXiEAJV5VWUqiLPX/rArXLMhMsM0GWEtPsN+ctk2m6E6rVOvNpnWdMVSja03dRvbGjpGyVpPJIqQqjqkLVNsRJ1xtjhdedEmN6m2/9Sf6+2hgrXPYzbJgENyJFXh0ox7juFBnWNWrWxaKIqQCFQWPxrcKzEYKdxw7rGtedDTb9hkRFlI9fj+KZk29ppqJ5Rp0yG35rO7ZKQZJRp8xUNE++0vrPprCkUCJQ+4hACe0iEnXFEXlqMIgFEnB+GWpHnkAESugWxzXWAAAgAElEQVQhfZZCXTY5Uicu0t3lPPugYvg4GOpNxu0OsmkTLJsMSe0RV3Xu61Xitk7gu0Rcn1FdoWTifOtP8tflx3vNeXmTYsnPctMpcN0p8ToYI648UrpCFJ91O4TGYqwiqgw+ulFSsSM+FRvlmtompSvElYdnXcYo8zYY46V38uhdVPuNFr5Wd2xZB1cZorr17zEiUOFDBEq4CIP90+eKIwLVYBAF6rLSJ2hPoESeriaXPsrX4zKJzjz/+VOoblLbEZaY8uCMf9prdpicHSGBx1uTIggaY3WejfG6nuaZn+Xvq7PHluH+XXWOaTfPA7dRjuFbRVQFeynU3ncHBdYqyjujgdCoTK9Zl6jyGVFVItqwGSR47mVPHbvzjItvNUnV4o4tFbBtTk+3DiICFT5EoISLIhJ1RRGBaiAC1b1rJH0SrjpXQaDOk0IBLJsMRZvghi7yuxZ2UcWUzz8Ft/i/6r/HtWqVqPLxrMuynzmxKe9FMMFflx/zF8lGPfkdd4MhVcOiGFFVovjUcdi1qagK8K3e2z1lUGgME84m2sBC/Tq/3Jpt+lq7vPQybARJJuNFVupnf14pp8zr+unp1i5hEShhHxEooROIRF1BRKD65/xT43oRqP3rRKCuKlcxheom/ShQAKs2xTOT5ZYucF2Vmrbz7XJdlSjZOIsmy1LpBkvneJ2v6nfY2Erwx/FF/iD6jLnIO1wC6tZh28Yo2QQV65LVmwzrGtdUY/eUsZqE9tBYNv0Ev63d4G82Hp1ZRZ4PRlj2JrgZKfBepNS0nW+X9yKlltKtsCEplCB0lnD/FBIOEQZ5AhGoVhCBakKHBUrkSTiNbqdQ3aYdgdrlF8Ec93Se7zlvwMBbe3wX1XVVIq23+W0wya9Kp6dAJ/EimODF9gT/qXaX/3nk/2XKzfPcz1Ayyb2Sig2d5LpTIqXKRA+UTRTqQ/xi+wH/rvSDlnc5/cPWHHejeeZib4FGC9/Rz+u9SIkxp8xC7ex0C8KTQolA7SMplNApRKKuCGEQqDCN74EIVDNEoIRmXLUU6iqM8V2EZTPBX/mP+Qi4o9f4gV6haBPUrUtE+YypCiUb57fBJP+29PjYmafzsuDf4D9694ipOi7sCRTApkmwaRLElceIrpLRm2z5CX6x9T3+9/WfnOt1XtYz/M3GI/589EtuRdZ5mFihFCSpW4eICkg5ZTaDBAu16y2lWyJQ4UMESugkIlFXABGoBv0iULJE9+h1IlCCsEu/jvEd5cvgDhs2wZ84i8zqd4ypCg6Gso3x2qRZNFl+VTpeGtEuR8sm3gaHUyLPukQwKOC3tRv8u83vt/U6v6neYSNI8ofDi9yL5hh1yrjKsG2ivK6P8dzL8sutWRGoK4gIlNBpRKJCTBjkCcIlUGFKn+CKC5TIk9CMkKdQ3aYTArXLsplg2UzwPf2a33OWSeJRJsp/Cqb5rblBpIMecbRs4vvRFTbMfvq1W5n+rNJaSnQaL+sZXhYyZJxNpqJ5otrHMy4vvUxLZ6BEoMKHCJTQDUSiQooI1D4iUN29RgRKOI1LHeULuUB1O4XqpEABTOtVfuwsMKNze0lUgGZW51iuZvk7Z65jSRQcLpuYcd8xqiuHKtNfbE+0lBIBLQlSPhg51yJdEIEKIyJQQrcQiQohIlAN+mV8r3F9fwvUIO+AEoESWiHsAtVpHjnf8ZE7z5ReY0RVKdrG2aGY8rhJkduxAtNunr8uP+ar+p2Ove5u2URGl5h283uV6a+L4y2lRFORPH80vMB0dHVvVM+3mo0gybI3wT9szV0oxRLChQiU0E1EokKEyNM+gypQVzp9AhGokHGVUiiArNnkns0Tsz415fJcZcjpi38/C8s5qF2m9SofufN8z3lDwQzxwozvnU/SHqyQ5rpT4oH7hr9IwsZWoqOJFEDepMh7jT1Tsc3Wvq/8MP7dXmnEiFNhw0/i45BUHpPxIjcjBe5G8/zNxiN+Uz2/+EkKFS5EoIRuIxIVEkSg9hGB6u41V0GgRJ6uGF0WqLnSOk+CBWZNjrSt4FhDoDQFlWBRZ3nqzPFc92960ekxvh87C9zRaxTM0KE9UXrn3tygeR00Pn7bWeOP44u82O6sRO3SqkBNRfL8+eiXzMXeUgySfF25eaiYYqWe5r1IibnYW/589Es2guS5EikRqHAhAiVcBiJRIUAEah8RqO5eI+efhFa59FrzLvF7G6/42J9nyqyTshWKKomHQ9zWuWkK3DEFZswqn7mP+bVz/vQibOegJlSJGZ0jpar8oxk/9bFvgxTfj64w4+bI6BJ5k+rsmzkHfzS8wK3IOsUg2XSRrkHvffxWZJ0/HF7kZaE1iRKBChciUMJlIRLVx4RFniBcAtUreQIRqGOIQAln0cUU6r6f52N/nvfNW9ZJsqxvYtSB5as2zaQt8b55y8f+PEWVPFciFTaBApjWecZUhaJNHl5E2+T+3KDZMAlGdZlpN783ftcpWk2hMs4m09FVRpwKX1dunvrYd/UUDxMr3IvmyDibZ56zEoEKFyJQwmUiEtWnhEWgwiRPEK70CUSgWkXk6XK5tBSqTYF66L3hD+svSFqPsoryy8hdvo5OHnvcn24+Y8qss06SFd0kvVCaFTUGBqZMY+SvVYkKW5HELjF8HAx1u/+9rplA7VK3Lg6GqOrsL0RaFSiAqWieUafMhn9Y/Jph0JSCJKNOmalo/tR2PhGocCECJVw2IlF9iAjUPiJQ3b8m7A18IlDCLj+pLfLfl7/gvp9n2NbQWAyK/059wZKb4f9M/oifx2YBuFHaZtbkSNkKy/r09OKNSvGBWWHW5MiazY6UTVyUbqRQADVcAjQx5YE9XaAAIsrHszE827nbibME6mh9ecbdbLTw0dr36Lp1cJUhqk/+PiQCFS5EoIReIBLVR/z/7L3bc2PXne/3WWtvXEni0gTRZF/IJpukrB5ZUo9nTtke22U5edJxSuVySZU6J3mbh1QeUvlb8gfkpJLUPNjlcrlK5cp5OJbHV82ZWN2SFXtEdjeb3c1LgyBxI3HZl7XyAIJXkARIgATA9XmyKe7NrVYTwKe+v/X99Ys8gRGoVunl8T0wAmVon26nUGmvxH1nk1BFUxM2T60UGevs15v/UP5/+cedT0npMsHddj0fQRDFhCoy6paZKWa5NVTgn6J/x4zOktw9A3VwhK8ZSkjyIkpSV5jRWTKc/jz9OMbXYEmlyOsIt2SeFTd5arIjUcRlhVU3yZLXmeKN0wTqpPpyG59xu0hZBVv6GQHhs6OCOKq/PwIZgapjBMpwVfT3K8gA0S8CdRnyBEagun2NGd8znIduCtR9Z5MflJ8wX9sg6VT3FrvmZIQFO82vQnM8tZt/UP9+bZF/3PmUCVWiImw2ZPzI2SZFUpeZUCX+cedTXjv111tLK5wW0wsHC0srQvr0v8f9LFAAGzrGE5Xmrs4xbhX3WviaMW4VKaowT7x0R0olThOo0+rLb9glYrLGqLXNlhdl0z/5WSSKmFVm1U2w7DT/+9QPKZQRqDpGoAxXiZGoK6Zf5AlM+tQORqCOYATKcArfqLzio9Ln3HO3iKsaOR3FFRZh7XDHzTPp55n1NvhJ5CF/Ct49dv3/UP4TKV2mImw25fFfCiUkm2KYUbVNSpX5D96/8p8C38IXkrBu7cNoEJ8dYVMTJ79t9rtANfiNP8+syPKGvQbUW/gOlUygGLeKJOQOX3kT/K4619XnaaW+/J3IC8bsEm+EX/NFJci2Cje9181AkZIf4ZmTbloq0Q8CZahjBMpw1RiJukKMQB3GCFT3rzECZTgv3Uqh7jubfFT6nAe11+SsCI9l6lCKtKyT3FJFHniv+ajyiLyMHEqkHjhr3PeyBLXHhoyf+rPyOsotCsyoLLb2yYkIt1UOqZOnjvRJrUjoMq9kgmeieXrRr0USzXhVHOMXgYd8EK3vgXoruEJBRXC1TUB4xGWFogrzlTfBL8oPO7Jo97QUqpX68sXaOBHpMCyrzIXW+bwyeUz8bgaKJKwyC7Vx/rB9XPz6RaBMCmUEytAbGIm6IoxAHWYQBMoUSDShQwJl5Glw+UH5CffcHDkrwituwBEXUULyyqp/cL7n53ivtnhIor7tPmdY16gJu6WzTTVtM6wd5lWGRZlmUuWY0MV6C98JTOgixd3Fu1dVKnFZKVTj53zuTlLYjvCd8CKz9mvisoKFwtEhVt0kT7w0v6vOdV2gWq0v31ZhFqrjfD36kmFZ4+3IS7b8YVxtERA+MatMyY+wUBvn48K7xxbtGoHqH4xAGXoFI1GXjJGn4xiB6v41ly5Q1yh9Sgy1/oae3+nc3/XLpFspVNorMV/bIK6qPA5NwCl/bVZljHfdFd7wMqT90l7ZRFQ7SDT+Ufs6gtj96+wjkGii2uGX9lvMqg3eVOug6i18R89STegiNyjzVznOJ9Z803sPyhjf0Z/z3B/j+c4YKVlk2s4SFB6OtlnyUh1brHtWE1879eVZP8YrZ5SIdMi4MVzqLXw7Ksiqm+CZk+YP23NGoPoYI1CGXsJI1CViBOownZQn6C+B6mV5ql9nBOok2pGmk67tV5nqNPedTZKqQk5GUN7pb0dKSHIySlJVuO9n9ySqLIKo3Ra+kxAH/pGFxkFQFkGeyRQ/tR/yofeIKbXFO2qFvIjiYBHEJ6HLFEWEv8pxfmo/bLojalAF6iBZFev4Il1obRdUUHpt1ZdvqzBFFeE/l94i68X2atCXnVRfn4EyAmUEytB7GIm6BPpJnqD/BMqcf2pOPwtUr8nTRcTppPv1i0h1s5EvpD0srXCVTSufkV1hYXG4Ie8PgXv8R/EnJlQRqdWxkb6DAiW1IoTHlojyqTUNwGfWJHkR5T1/gTmVIakrWFqxI2xeyQSLMs0n1vy1Fahu0eoyXUfZeFoSFU5L39+oL896Mf5Umb7II/YMRqCMQBl6EyNRXaafBMqM77WHEagjDKBAdVqe+o1u74SqCbuthryA9nFE8FBD3l+CEzy1U4y6ZZK6zKY4+RcmQRkHm2cyxV+sib2vP5MpnskUaVViRmcJ7e6ZeiZSJ56BGqQiicumVYECWHZSFPwoE+HW9ladVV9+kGYp1GigxGR4cy/BelEdZdO9uuXKRqCMQBl6FyNRXaKf5AmMQLWDOf90hAEb37ssceqnNKpbPA2OklNR7qg1lltoyEuqMq8CcZ5ahz8g/9/RbzBTzDKhSoyqbXK7C3QbKZTUigRlInisixj/ZP9905+RkSNnLtK9LAY5hWqHrD/CkjPG7UCOm4Fi03a+BmfVlx/kqEBNhrN8K/GE6fAGMbuMJRS+lhS9KEvVMf6Yn+VFtTMLhVvFCJQRKENvYySqCxiBOs51Pv8ERqDO4jrJU7/Q7RQKIFNNsmCnmfTz3FLFvRa+ZtxSRQoywld2eu88VINfh+a4NVTgH3c+JaXL3FYFatj4CCw0ITwcbNZFjP898E3+2b7YXiMzxnd+2kmhGvx+e557wSzzoXUAXrvH91adVV9+kKMC9dbwS95Pfc6d8BYjVpWCF8FVFiHLYSJU4FYox1Q4yy+z7/Dl9vE9Zd3ACJQRKEPvYySqw/STQJn0qT3M+N4RBkSgjDxdEdv1t59fheaY9TZ44L0G6i18RxvybqkiSVXmL/ZNPgk1/4D8T9G/Y9WK8x/Lf2LOzTK029rnINgSUZ7JFP9k/70RqEv+OQc5j0ABLLspPi68yw/jj7kT2OJBZIWiH225vvwgzRKo91OfMxtdp+BGeVm5dXiRL4p0sMhsdJ33U1D0Il1PpIxAGYEy9AdGojpEP8kTGIFqFyNQRxgAgTLydDKXkUI1eGqn+EnkIR9VHnHPz/Guu0JORnGFRUD7JFWZgozwF/smP4k8PLQj6ii/Ds3xO/cNHsg1vukvEdUOZRHkU2v60Bmo83JdBaoTFefnFagGX1QnKfhRvj28yEwwQ9wqt1RffpBmZ6C+lXjCndAWBTfKutN8kW/j63dCW3wz/qSrEmUEygiUoX8wEtUBjEAdx4zvXc41ZnyvfYw8nc6lCNT24beePwXvkpcR3qst8oaXIal2F7uKIK8Ccb6y03wSmjtVoA7yF2uiI9J0kOsoUPesDb4bXuC+ndlbtusjKagIT700v63Ot7Rs96IC1WDZTbGcS5GySkwFs2fWlx/kpBKJ6fAGI3aVl9u3Tr0+48R4MLzKdGSD0UCpK2UTRqCMQBn6CyNRF8DIU3N6KX2q38MI1P4111egjDz1CNvN33ae2ime2inSfon7/n5D3lMrdewM1EnY2+3/zrbTyNctelGg3gm84IPoIyatTUZklbyK4mmLkHC4Fchz28oxbWf5Rfkhn7uTJ96nUwJ1kKw/QrbS+n+jk3ZBTYY3idllCl7kzEW+CknBixC3y0yGN6+0sW9QMQJl6DeMRJ0TI1DN6SWBMuN7R6+7ngJl5Kl1LnOM7yQy1kjL0nSQdgVqRmWP7YbyhSQnIsd2Q123OvN71gYfRB/xhr1GXg2x7IwekoxXJBm3irxhr/FBFArbkaaJVDcEql1OW6YblB6WULiqtfcKV1lYQhGUnWsk3XuWa55CGYEy9CNGotrEyFNzBmV8D4xAHaMDAmXkqfe5ijG+TtGuQP2t/4IPvUdMqS1iukJeRHGwCGuX2yrHpMoxqzb4qf2QLypTXXnmBr2YQn03vMBda5O8GmLVb35OqPH1u9Ym3wkv8nznsET1ukBBfZGvryUhq8VFvtKn7AdxVGf/HhuBMq/Vhv7ESFQbGIFqzqAIlBnfO0Kfpk9GnnqUHhGoGZXlQ+8Rb6p1toiyJG8faQNMMqGLvKnW+ajymBJRljj73M956EWBSski9+0MMVnlS2f01O9d92O8FVxh1s6QksW2yyaumhfVUYpelIlQgRXUmYt843aFtVqCF9XT/1za4ToLlJEnQ79jJKoF+k2eoD8Fypx/OhkjUK1hBOp8dD2F6qBAHT0ztazSbZ1hes9fYEptsUWUFdkkZRGSFZFAuoIpNvk+ix2TqDRFpskSwsOv2CyJFBu6u+LRrqhN21niskJeRVs7J6QixGWZaTtL1qn/u/RDCgWw6Y6wVB3jVihHOlhs2s7XIB0sUvLCLFXGOnYeygiUwdDfGIk6g34TqH6UJ7ge43vnuc6M77WGkafz0y8Cdd/L8oPaIvMH2vuUbzU9w3QSaVViTmWI6QpL8vaJ3yddwRox3maFOTKkKZLh/LIzzQbvscAsGRJUCHgKPyDJ6whPVJrf+PMsqc6nXedJuoLCw0Lh6RbPCWkbC0VQ1F83+kWgGvwxP8tUOMtstL7IN+McX+SbDhaJB8o8KY/zaWG2Q89oBMpg6HeMRJ1Av8kTGIE6D+b80wH6MH3qZ3nK73T292iQ+Ybzcm+PVFxV6nukfIsItWNnmD6zTm6Km9FZkrtnoA6O8DVDIckTIUGZabLnlqiHvODHPGKKTWJUKfhRXHZb7mSeOzLHjMzyc+8hj/2Tn71dzjsq6GgbH0lItHhOSHg4OoSj7a4I1NE685IfZsSqnlhv3o5AAbyopvhl9h3eT9X3QD0YXqXgRXCVRUD6xO0KJS/Mk/I4v8y+05EdUUagDIbBwEhUE/pNoC5LnsCM7/WyQF2n9Kmf5amX6IcU6r6X5aPKIx54r8nJKI8Dt9GepBEWHDzD9KH3iLyInphIhbSHpRUOJ79uSHe/ic/FxkYR4ny/H9Ns8GMe8SZr5BjiS/dAy52GlyQZF0W+Zq3xI6CgIx1JpC5y1mrJS1FQEW4F8rwiefY5IVlh1U2ymu/cOSGAqUCWfxheYDq4QdwqMyyrxK0KAXw8LPJ+lG0VouBHWXLG+P32PGvZ8713f7l9l6IX4ZvxJ8xENojZZSyhKPtB1moJlipjfFqYNQJ1QYxAGQYNI1EH6Dd5guubPtXvYQRq/xojUIb26AeBAvhBbZF7fo6cjPLKSiCOfAZtnGFCwZTa4j1/4USJqgkbX0jCuvkH2YMCBRDAY4cQtXO+Vb7HAlNskmOINfeEljtdf/ZJucl3rcULS9RFyyqyKsZTL81tK8e4VWzaztdg3CpSVGGe74yduey2Hd4Ov+CH8cfcCWwxYlXwlOSGvUNEugRFPYEakjVyXpSJQJ7bgRwzbPDL6jt8uX33XD/zRTXFi2qK0UCJyfDmXtL1ojpqzkB1ACNQhkHESBT9KU9wfQXKjO8dve56jO8ZeeojOiRQab/EvJchrio8Dpx8hglgTcR4R60wpzKkValp2cQzkSInItxWOaROHm7lOyJQEkWCCiskWaL9BCJNkVkyxKjyBWe03OkYX5crzMkMY6J47rKJTrX9/bY6z7Sd5Q17rf58/vFzQuNWkYTc4UllnD9sz3XmB1NPoH4Yf8x8aJ28H+VFbZT7oQ2CwqesgmypIcLSJSQ8wtLjaW2MYVVjNrrO+ykoepELJUab7khXFukagTIYBo9rL1H9KFBmfO98GIE6QB+lT4MoT1d9HqoXluq2wn0/S3L3DJQS8lgKdRAlJHkRJakrzOgsGY6/TmbkCIsyzaTKMaGL9QSL4wIVwWGaLAJN7ZTRv9OYJkuCCnmi4LZw/kpHSIgy0zLLht++RHWyLv25P8Yvyg/5IFrfA/VWcIWCiuBqm4DwiMsKRRXmSWWcjwvvsuxefMytwT8ML3AnsEXej7LmJpgNvWZI1qhpm7Kq/70tqxBIGJI1booiT52bQP1M0zfjTzoydtdJjEAZDIPJtZWofpQnuL7pU/0eZnxv/5rBH98bRHnqBfpljA92zzChcIV1qkA1cLCwtCKkT/47/ok1z6za4E21Dgpe+3EUdYkaocJt8oxTJIJLmSDTbPK/8l94QppPmG+57jyEh43C89pruTvv+atO87k7SWE7wnfCi8zar4nLeiOio0Osukme74zxh+25jgpUyioxHdxgxKrwl8ptwsJhRFYICI9tf+jQ91ZUkBtyhxG7Sli6ZJwYD4ZXmY5sMBoodSVNOg9GoAyGweVaSlQ/ClS/pk/Qf+N7MKAC1Ufje0agukM/CRTsnmFCEvEczlhZBEAQnx1hUxMnP8czmeKn9kM+9B5xz93ibVbIEyGMywQFhqm30m0T4jUjCOBvWOMuOWbI8jMe8oizW/Rq2ChPEhYOtPBrHhAeZX2+81fdWtr73B/j+c4YKVlk2s7WzyNpm9X8aEfPQDWYCmaJW2UKXn1H1bBVq59N0jaaw2khChxhE5Qew1aVrBqh4EWI22Umw5s9IVFGoAyGweZaSVQ/yhOY9Om8mPG9A5j0qWe46lG+rtFhgQJ4aqXIqyh3dP7YGaajSK1I6DKvZIJn4vR05DNrklIlyvdZZI7X3KJAmhJhXEqEWCfGCklKhOv3JskERd5kjR8DeSJnJlIvd1LkgxFuyTwvW2i5S4gKqyrJkmov2emWQB0kq2KXskg3KD1sofB2Ryit3T81dUSghKq/fiotEGikqD+TqywsoQjKq0/zjEAZDIPPtZAoI09nM0gCZdKnI/SBQF0HebpquppCdUGgALYq8aZnmJoxoYsUdxfvNiuVOMoSYywxRpoi/zP/zA12yDLMM1JUCR76XoVkhfrPnmKT77N4qkQFtmGDGE9Umjsyx7go1lv4TmBcFCnqMIsq3VapxGUIVLsc3et0dI/TaTjKxtOS6O6OKh+JAuwDUV5DoACk0HhaonT9NT8gfcp+EEdd7Ueb6ypQRp4M142BlygjUGfTawJlxveOXmPSp0HhqlKofhQoe7v+u3z0DNOaiB1u1dOKCV3kBmX+Ksf5xJpv4d6Hk40gHhrBvzF+amK0Roy3WWGODGmKTRfwHhSb3/jzzMgsX7PWQNVb+I613IkiSbnDv/kT/NZvveXuKgTqtBTq6F4nWyg8LQ/tcTrr/NSyk6LgR5kI51lxk2z7IRxlE7XKCPShkT6BJig8yn6UbT9c31llV1irJXhR7ezOqnYwAmUwXB8GVqKMPJ1Nr8lT/R5mfO/wdYMrUNdJngzn5+AZpim1xTtqhbyI4mARxCehyxRFhL/KcX5qPzxxR1RalZjRWaIVjxo2S6TIEDvUoneaQMFuix4REpSZJntMoo6KzZIa4+feQ35EfQ/U1+UKeb3fcpcQFYo6zL/5E/zce9jyjqheE6ije50KXhQPi6hwmAjX9zjdC2b5uPAuX1RPPk+W9UdYcsa4HchxM1BkzU1QUhGGpENEOlS8/YQwIl1cbVHywlRVgPFgnpIXZqkydmXnoYxAGQzXi4GUKCNQZzNIAmXSpyNcUKCMPHUHk0K1TiOFavCZNUleRHnPX2BOZUjqCpZW7AibVzLBokzziTXfVKBmVHbvuhtupd6YtytDT0izTRAbhdtilbmLjd2kRe8ksXnsT1LQEb5rLTInX5MQ9Za7sg6xqpIsqjS/9eeOCdSYKDIts4TYlT6VYkPHek6gju51+kvl9iEZXXGT3AwUmQ+t88P4Ywp+9NRE6vfb89wLZpkPrQOQcUcYkVXisoyQUFE2EekRlB4FL8KGM8J4ME88UOZJeZxPC7Od+xdvAyNQBsP1Y6AkysjT2XRansCM752GGd/b57rK01UyCALV4JlM8Uym9hKlkPaoCZtnInXiGai/9V/sJVhxv0qeKC4WQzjcJs9dcpQJMkRtr8zgLAJ47HC4Re8ssVlSYyypsRPF6CDTcoPvWQvMysyecPm7e6SWqml+a83z3G8tseoEZxVJHN3rdBSF3Pv6ncAW3x5eZDl3skQtuyk+Lry7l2yNhkrUPBvHtohYDnG7jKstyn6QmgowGdmi5IV5Uh7nl9l3rmRHlBEog+F6MhAS1a/yBP0tUNdlfO8815nxvcNcd4G6ihRqkATqIBk50nSR7lFmVJYPvUe8qdbJ+0N8weiR80j1xr1xioRw0QhetNKiR4UVkixR/7DeTjK0oWOnLtJ913rBj+xHTMlNRkSVvI7iaouQ2JW+UI5pO8svyg/53D27Zv2inCVQR/c6NQgLhyoqfTcAACAASURBVGGrtieA236I126MB5EVZoIZUlbp1LKJL6qTFPwo3x6utyfG7DJlP0DcruyetbIo+hG2vRAFL8pSZYxPC7NGoC4RI1AGwwBIVL8KVD/LE5jxvdMw43v7XHd5GkiuUKDa4T1/gSm1Rd4f2mvWO8jRxj2NZoJi0+9tMEGRImEWSZOhs6N103KDH9mP+Jq1Rk4N8VztS590YIUk41aRN+w1PohCYTvS1USqlSrzY3udZJXxQIERWSEovd168nrrXklFqKkAcavMVDBLtnL6e+Cym2LteZLRQInJ8OZe21/JCzFi1/b+/4vqqDkDdckYgTIY6vStRPWrPEF/C1Q/pk8woAJl0qe+YKBSqD4RqLQqMacyxP0qX3B6U9saMW6TA2CM4t7XjrboTVAkyQ5/ZYJf03qLXqt8z1pgUm6SU0Os6gRhHEZElYCv8aWgpMOs+nXBu2tt8p3wIs93uiNRre6COrjX6Ya1zVRwkyFZI7C7lFchsNFErTJD0kFR3zvcyh6nYMEHYNMd6YnFuUcxAmUwGPpOoow8tY4RKDO+dxJGngaXro7xtUnaL3Hf3z+/9NRKkbEOvw52WqAAZnSWG27rjXsZRrBRbBMiisPbrJAngotNAI8EFYqE+SsT/IyHLDHW0RRqTBSZlRliospzNcS8XCcmKoS0j7Q1CoGjLYoqwms/xr1AiVk7Q0oWyarW90q1QjvLdBt7nZJyh/FgjbhVpqZttv2hY3XkEekwLGuk7G2ScufU+zYEqle5jgJl5MkwqIhc6dzX9pVEGYFqjV4c3zPp09FrBm98z8jTcS47heqVc1D3vSw/qC0y72VIqv1yhJyMsGCn+VVojqd2qisCBRCteG037tUQ/BfeYAiXOV6ToN7kt0OIFZIskubXzHVcoACmZZaEqOBpyZyVYVjUCOp6+UQ9zVEMyRpD0mFEVqlpm7gsM21nyTqdk6h2BAr29zq9GV4FDTVtU1bH/w5qBBUVZFhWCeBzK5A/8Z5GoHoPI1CGQeUiAgV9IlFGnlrHpE91BlKgelSewAhUL9ArAvUN5yUfVR5xz88RVxVyMoorLMLa4Y6bZ9LPM+tt8DP+ls+szpcj2NuCGjYekiGclq5pNO4tM8q/MEOaItMcaNHb3SkF3dnRFMJjmCqjYoeg8Kgpmy19OM3Z0ZqIcEjIMo622dEhguLiI717z9CmQEF9r1PGiyE0RKRDxjtZ6CLSoaKCIAQ3A4Wm5RJGoHoPI1CGQeWiAgU9LlH9LE9g0qf6Pcz43uHrBkugjDydzFXtheo4bSZQH1Ue8cB7TU5GeRy4jRL7v8fLOsktVeRvnNdI+Yi8iJ64HPc82Nt16VgiRZ4It8kjz9G4lyF2bJEudG/JbQ2bpCwTEQ5lFaSsm6c5ja8PHZCpTnAegWqw4iRxsQizL0rNRvlCwqPgR9lWoablEkageg8jUIZBpRMCBT0qUUae2sOkT3VM+tScbgiUkafeoleKJH5QW+SenyMno7yymjTiCVn/ugdTaov3/IWOSVRDoKAuQU9Ic5dc2417J9HNJbdFHcbGJ4THlh469XurOkBSlgmgKKjwhX/2RQQKIKeGyHojSFtjoUnaOziqPoYo0QSlh6vs+pJdZ5TQbhnFwXIJI1C9hxEow6DSKYGCHpSofhaofpcnMAJ1Fv0kUCZ9ujouM4XqFYFK+yXmvQxxVeFx4PaJ3ydcWBMx3lErzKkMaVU6cVluqxwUqAafMM8MWd5kDbhY414nBOq0RbsxUcVTFjXLJiI8dnTwxPtERP16F0lcVi/0TBcVKKiXS+T8KIJ6AUbsQL25h6DsReuFGG6cbRVm0tpkRwVxVP3vlxGo3sMIlGFQ6aRAQQ9JVD/LE/S/QBl5Oh0zvmfkqRfpFYECuO9nSe6egTo4wncQsft5VAlJXkRJ6gozOtvS8tyTaCZQAEuM8TMe8mPqe6BaadxrxkUFalpu8D1rgVmZISH2SzbyOsITleY3/jzRqkfBitYLJXb/kMo6cGwsLipcgsKlooIUVPRCZ6I6IVCwXy4xEcjzl8ptgsJn2KpiCYWvJdt+mKquv79IFDGrzKqbYNlJGYHqQYxAGQaVTgsU9IBEGXlqD5M+7dPLAmXk6fpyWSlUL1WZA4S0h4XCFc1fC8SRz6MOFpZWhPT5/86fJFANHjFJngjfZ/HMxr1mtCNQzZKm2zLPj+xHTMlNRkSVvI7iaouQcLgl89yROWZVlgXrJiUdZksNERYuw7LGDbGDg43SEikUQTwcbPIqSk0HKOnwuc9EdUqgoF4useSMcTuQ42agyJqboOo1f0+5GShS8iM8c9IUt6Ide4ZucN0EysiTYZDphkDBFUpUv8sT9L9AdUKe6vcxAnX4GiNQhj7mnAt1a8LGRxLWxxvxjgoUQBCfHWFTE919G1pijCXGTm3ca0arAnVS0uRpwU1ZIioc1lWc52p0f5xQw0vqJRtv2GuEhYuvJbZQPPXGSFvbxESZoPARaHxtsaNDFHWEjD/MlL1FQUVZ8to/T9ZJgWrw++157gWzzIfWAXjtHh+dvBkokrDKLNTG+df1mY4/QycxAmUwDAbdkqcGVyJR/S5Q/S5PYNKnszDyZN5Uz0Pfp1DnFCiAp1aKnIxwx82zrJN7I33NBEpqRUKXeSUTPBPnK5Y4K4U6ykmNe81oVaDetV6cmDRNW1nCuJR1cHff05HXPFeyult4MSaLbOswRRVmSLgsujcJC4dRuc2wrP9+b6sQm2qYG7JMUYV54qXbXrTbDYECWHZTfFx4lx/GH3MnsMWDyApFv/5nERA+MatMyY+wUBvn/1l9mxfVzjUydhojUAbDYNBtgYJLligjT+1j0qd9jEAdp9MCZeTp/FxngQLIWCMs2Gkm/Ty3VJFXVqKpQAFM6CJFEWFRps9VKtGuQLVCI6kaqnjUrMPFD82Ylhv8yH7E16w1cmroUNIU1g5pUSQqHILCZVpmcZRFSdf/jsgDfy7rfoy3gisUvCgbeoQpa5OwqGELxYio7qVRN+Q2M2ygheDPzm1+Vz25CKMZ3RKoBl9UJyn4Ub49vMhMMEPcKmMLxY4KsuomeOak+df1GSNQPYQRKMOgchkCBZckUf0uT2DSp/179Ic8nfe6fhEokz5dT3pVoBr8KjTHrLfBA+81ePUWvoMlE1IrJnSRG5T5qxznE2u+7Z/RaYGaZoP3WGCWDDe8ClbgePHDkjp+Zup71gKTcpOcGmJVH65QHxHV+rgiQZSWDIsaE6JISUcOCRSAQlJQESyh+KJ2j2jI4UFglahwAI2jbQQQEPUShrIOEhQ+cVmBFnsZui1QDZbdFMu5FCmrxFQwS1B6OMpm2UmZM1A9hhEow6ByWQIFXZYoI0/nwwjUPiZ9Oo5Jn3qPy0ihel2gAJ7aKX4Sech/X3rMFFu8o1bIiygOFkF8ErpMUUT4qxznp/bDtndEdVqgHvKCH/OIKTaJqyp5cbz4YUZm+bn3kMf+5N51Y6LIrMwQE1X+rEaP3ddC755lElQIcIMdYqJC1HOocry+3NU2FgpHWzjarrfa6RA+EgEoBI6yKakQHhZjssQH0UcUtiM895uXYjS4LIE6SNYfudRFuqOBEpPhzT1pe1EdZdNt/b3bCJTBMBhcpkBBlyRqEOQJTPq0f4/zyxMYgTpED6VPRp4MnRSoBp87U5QCQ7znLzCnMiR1BUsrdoTNK5lgUab5xJq/coGaZoMf84g3WSPvDfFnfbz4YVwU+Zq1xo+Ago7sJVLTMktCVMjr6PGzTkB9AE9gC4XWAgebkPYYkVWq/nGJCggPR4f4WmCdpNzhmZdmS0UZEVUsUZexkg5T3d0fdcvKc9fa5DvhRZ7vnCxRVyFQR+mmQE2Gs3wr8YTp8AYxu7xXq170oixVx/hjfvbM8cHrJFBGngyDzGULFHRYoow8nY9uyBNcvUAZeTqASZ8Glr5NobogUPZ2/Xf+mUzxTKZIqxIzOktIe9SEzTOR6pkzUO+xwBSb5L3j43hQH7Nb1QlQMCk3+a61uCdR9TxI4ermr48lHaaGRZQaAo1WEoFGcvw1R6KIywqb3hAjskJMVvnSqQtd9YSlu41zVLN2hpQsNi2YGHSBemv4Je+nPudOeIsRq0rBi+Aqi5DlMBEqcCuUYyqc5ZfZd/hy++4Jz2cEymAYBK5CoKCDEjUIAmVG9w7ew6RPx68x6ZPhMEag9mkI1EEycuRCi3Tr9+1OicQsGeKqyp/18XG8g6zrGF+XK8zJDGOiyIaOUaNe5x4SDk28iCpBijrCsHCIagcp6jXliuP/LuNWkaIKU1QR0laJvGqebh2kcY4qLstM21myzmGJGnSBmgxneT/1ObPRdQpulJeVW4f+zFZQpINFZqPrvJ+Cohc5lkgZgTIY+p+rkqcG5/uke/AGN5JGoM6BH4sMpEDVRuS5BModHkCBGvZ6RqASQxUjUH1IPwtUZ+7beYECmCbLDe/kcbyDqN2SiYQoMy2zACyp1N7XJM1fG9ZUgm0/REh4RKnhaouSCu/9c4nilpUnIXd46Y/ylTuOhcI7Id06SuMcVVAcfo0ZdIEC+FbiCXdCWxTcKOtO4th/Q4Vk3UlQcKPcCW3xzfiTI89nBMpg6HeuWqDgAknUIIgTmPTp8D1M+nT8GpM+GZrT7RTKCFR3BApgqOJhBU4exztKQ1hC1H+vN3SMJyrNHZljXBSbjgPuuGGWZYpoYBVbKKLS4aZVxNU2AeERlxWKKsxX3gS/KD8kKLz9dKsFGueoHL3/3/Q6CNRooMR0eIMRu8rL7Vunfm/GifFgeJXpyAajgRKb7ogRKINhAOgFgYIrWrbbCxh5Onqf/jj7dN7rrqNAGXnqHpe1E6rX6UeBCmxDzTp9HO/YNcKjrEPUDrxl/safZ0Zm+Zq1Bqo+9tdIRKRbT5pCwmNbhdhghIwfwxJqt4UvxKqb5ImX5nfVOZ77Y6RkkYKKcCuQ5xXJUxOyxjmqVTfJklcfU7sOAgUwGd4kZpcpeJHWxh69CHG7zGR4k1I2fOr3DxJGoAyDSK/IU4NrJ1FXIU9gBOooJn06jEmfDAfphxTK3pYdK47Yv2fn5KmxPDeERw2blzv7y3Mb43i3ZJ6XLQhLQlRYVUmW1P65miU1xs+9h/yIevHE1+UKeR3B92wC9n7S9GfvLr8oP2TFTzBtZwkKD0fbLHmpQ4UQWRXjqZfmtpVj3Cqy6h9Ptxo0zlE98dJkVezaCBRAUHpYQuGqFlNEZWEJxVCl2uUn6w2MPBkGlV4TKLhmEmXSp6P3uXx5AiNQRzHpU39hxvhgvrh1rMLcF5KciFx5hfnB5bkJKtgolCfJBw8vzz1rHK/BuChS1GEWVXpPwho89icp6AjftRaZk69JqsqJSRNwrADiKL+tzjNtZ3nDXgPqLXwHBU+iGLeKJOQOX3kT/K46d60ECsBR9T1aIavFsUfpU60FcNTgf9wxAmUYVHpRoOCaSNSgyBP0t0AZeTqMkaf+wwgU/LvCKz70HjGltojpyt4y3bB2ua1yTKocs2qDn9oP+cyaPPuGdE6gDi7PjVElTxTPswg3WZ572jge7AqLKJKUO/ybP8Fv/bmmP3NJjbGkxpgoF09NmlrhuT/GL8oP+SAKd61N3gquUFCRE89RreVPbxa8DC5ToABeVEcpelEmQgVWUGePPYoyr51xXu7cuMSnvHyMQBkGkV6VpwYDLVFmdK/ZfUz6dPwaI1CGq6cfBGq+uMWH3iPeVOtsEWVJ3kaJA+Khk0zoIm+qdT70HpEX0TMTqU4mUI3luTmG+IJRcE9envt/uN9uOo7XEJaEqFDUYf7Nn+Dn3sO9HVHNCGxDltiZSVMrfO5OUtiO8J3wIrP2a+Kyebp1HQUKYNMdYak6xq1QjnSwyLpzcop4UxbY9sIs76TYdK7m88BlYATKMIj0ukDBAEuUSZ+O3mOwm/fgkqvLz8l1kqfxodNfANd3+utDTTdTqH4QKHtb8p6/wJTaYosoK7LJglohWRH1BbVTqj7yt02o6bmptCoxV94/s7REigznl5DG8twcQ6yQQB4pYWu2PPf/dL99aBwvIerCUtYhVlWSRZXmt/7cmQLVaZ77Y2xXQrwbiHHX3gLgpXeDx+7ktTsD1Yw/5meZCmeZja4D9Ra+oyniTVkgESzzpJTmX7L3r+pRu44RKMMg0g8CBQMoUUaemt3HpE/Hr+nf9KnX5OksWTrrun6QKSNQ9RKJOZUhpissydunfv+aiPH36gX/3vuSr/srRPD2zk15CGwUvmdho7BReEjyRHhCmk+YZ4mTpaUZjeW5Map8wegxgTrI0eW5jXG8MVFkWh6QOpU6dgbqKN0QqHvWBt8NL3DfzuylUD6SKXuTu36e35fnWaa982ad5ioFCuBFNcUvs+/wfgruhLZ4MLxKwYvgKouA9ImLMttemCelNP959W1elq8+tesGRqAMg0a/yFODgZGoQRrdg+uXPp33OpM+XQ3nFafT7tUPMtUXdEGgAGZ0luTuGaiDI3zNuEGZYV0jqcskKLMqEzhYpFSJOzqPpcFHsEKCHEMM4XCbPHfJMUOWXzHPDqGWU6ppsiSokCe6P8J3AkeX52749ftu6Nje/z6LbsgTwDuBF3wQfcSktcmIrJJXUTxtERIOt60cd4dy3Atm+bjwLl9UWztv1mmuWqAafLl9l6IX4ZvxJ8xENojZZSyhqNYCvHbGWd5J8S/Z+wMpUEaeDINIvwkUDIBEGXk66T4mfTp+jUmfLkInxemk+/eiSPVVCtUlgQII6Xqa5HD6a0tMV5lRm0RwcbB4LkdZkQlGdJXbuoDWknpQpIngskyIEhEkSWbY4Ds84e94zjpxHOyWUqoQXj3R8s63PLcduiVQ96wNPog+4g17jbwaYtkZ3RtRs1zNGgluBorMh9b5YfwxBT/Ksnu5iVSvCFSDF9UUL6opRgMlJsObDFWqOMrm5c6NgT0DZQTKMGj0ozw16FuJMvJ00n1M+tT8mv5Mn65anrotTr2OEah9asLGF5KwPmVWDrilC4zoGj6SKgG8Xem6rQuMqBpVbMqEiOIwTI1bFPmKCEnKJKkQxiVGFQG85MaxlOpnPOQRh1OYGjbKk4QvsDy3FbolUADfDS9w19okr4YO7Yiy3Pq/kEKy5ta/fiewxbeHF1nOXZ5E9ZpAHWTTHbkWi3SNQBkGiX6WpwZ9KVFGoE66j0mfjl9j0qd2uUpx6tU0qtP0m0ABPBMpciLCbZVD6mTTkb6IdonrCgFcQFATNkURIqIdEn6FIB5bDAFQJsAoO8SpkKLENJskKFOh/nqokGwSpUoQSZIJirzJGj8G8kQOJVIvd1LkgxdbnnsW3RSolCxy384Qk1W+dPbHzxoCdZDXbowHkRVmghlSVoms393fl/PIUyMZCkoPR9m8qI6y6XbvOYOF08V+EDACZRgkBkGgoM8kysjTSfcx6VPza0z61A7XPXU6SrdSqH4UKICMHGFRpplUOSZ0sd7Cd4QYVUL4CAQONgURoSKCjLslgvg42GgaleaCGjZBPKbYYpgaNQKUCWKhCeIRo0qVIArJCvWfN8Um32dxT6IC27BBrCPLc0+imwIFMG1nicsKeRU9NMLXDIWk6EeJW2WmglmylW7KSXsCNRnO8q3EE6bD+2eUfC0pelGWqmP8MT/Li2pn0zMjUAZD/zAo8tSgLyTKyNNp9zLp0/Fr+jN9ugp5MuLUHCNQzfnEmmdWbfCmWgdVb+E7mEjZyieiHSwUJRFiRcSRrsBCI9H4HN4JpZDY+AyjCOKxuZtS+QgkGuvIbN4aMd5mhTkypCmS296XoE4tzz1KtwUKICg8LBSerr+enyRQDVxtYQtFUJ7/NevMZ2pToN4afsn7qc+5E95ixKruteWFLIeJUIFboRxT4Sy/zL7Dl9t3O/SMgy1QRp4Mg8SgCRT0uERdlTxB7wuUSZ9OusakT61g5Ony6XeBAngmU/zUfsiH3iOm1BbvqBXyIoqDRRCfWxQQaCoEeCZH2fHqr6M+AoUgwOHfT4naFSW9ez6pLlkWGhfZVLryRLjhlZlzs/zXA419S2qsY8tzG1yGQAE42sZHEhLOmQIFEBA+OyqIo7rzFn6eBOr91OfMRtcpuFFeVm4dEtgVFOlgkdnoOu+noOhFLpRIDbo8gREow+AwiPLUoCclysjTafe5GnkCkz4dpd/SJyNOrdHNMomOcUGBSvsl7vv7C3CXq2kysrXX3c+sSfIiynv+AnMqQ1JXsLRiR9h8IW5xV+cYUVXy3tDeNUXCOFgMUUOgd0f6NCE8qgQQ6L0P3WJ3lG+HEEWOlwV43snNeo/9yQsvz21wWQIFsOSlKKgIt60cayTOPNMVs8qsugmWnc4XS5znDNS3Ek+4E9qi4EZZd5osYUbuff1OaItvxp+cW6KMQBkM/cEgy1ODnpKoQZQn6H+BMunTYYw8DS59McZ3AYG672X5QW2ReS9DUtUFQ/kWORFhUab5xJrnmTz7w+0zmeKZTJFWJWb0vow9Eyn+O//P/Le1r5iguHeOqUqQAhGGcIjg7LbzuTjYbBMigotN/cN7BKd+nooIVYKHfq50ISBPb9a7yPLcBpcpUAClwjDLcoy7QzluBop7LXzNuBkoUvIjPHPSHS+VOG+JxHR4gxG7ysvtW6d+b8aJ8WB4lenIBqOBUttlE0agDIb+4DoIFPSQRA3auSfof3kCkz4dpN9G94w8tcegC9Q3nJd8VHnEPT9HXFXIySjS14zobd7Qr/kbscZb/ir/V+Df8ZnV2iLXjBwhw+HX7t+U55kjy5usAfVzTArJKgliVElS3k2RNHmGeMENpskyRBWFIIRHniirxA/dV7rtNeu1szy3wWXLE0CoVH8d+/32PPeCWeZD60C9he/oma6bgSIJq8xCbZw/bLd2pqtVzlthPhneJGaXKXiRUxM0qCdSBS9C3C4zGd5sS6KMQBkMvc91kacGVy5Rg5g+9UpxBJj06RDXJH0y8tQ7dPwc1Dm572X5qPKIB95rcjLKM2uUCa9EXFd22/QUab3NuF9kUuf43wLf55/t9j6k29v180tLjPEzHvJj6k16b7NCfjdrqmBzY7cwQiGoECCIj4UiiELgsskQS6QoHRjlk7ufn8/TrNcqVylQAMtuio8L7/LD+GPuBLZ4EFmh6EdxtUVA+MSsMiU/wkJtnI8L73Z00e5FdkAFpYclFK5qcdGxsrDaLMUYdIEy8mTod66bPDW4Moky8nTWvYw8Nb+m/9InI0+9TzdSqF4qkvhBbZF7fo6cjFLF5g13gxFdI4CHg41C4CEZwmVabfK/uL+mJEItJ1INgWrwiEnyRPg+i8zxmgQVbBSvibNCEhuFh8RGYaNYJYGPJIJLjihbRPfu1UigztOs1ypXLVANvqhOUvCjfHt4kZlghrhVxhaKHRVk1U3wzEnzh+25nhEoAEfZ+FoSspyWvj8gfcp+66UYRqAMht7luspTg0uXqEGUJ7i+o3vnvc6kT53DyNPFGHSBSvsl5r0McVXhmTXKG+4GSV3GxaJMcLfiAarCZkcHSVNiUm3xP7r/lbyInnlG6qhANVhijCXGSFNkmgNnk0iRIXbs60M4/ICvDqVXnmcTkOdr1muVXhGoBstuiuVcipRVYiqY3VtYu+ykeuIM1FFeVEcpelEmQgVWUGeWYsTtCmu1BC+qoyd+3/7zGYEyGHqR6y5PDS5Noow8tXIvkz41v8akT0cx4tS79JJAAdz3syR3z0BNeCUSurKXAFkHKsd9LXGwqGIjEMyqDd7zF06VqJME6iAZYmQ4PnrX7OtLjPJ9FnnDvVizXqv0mkAdJOuPdG2RbifkqcGmO8JSdYxboRzpYLFpO1+DdLBIyQuzVBk78zyUESiDofcw8nSYrkuUkadW7tVf6dN5pes6pE9Gni7G+s7lvl70fJ15B3ZBhXR9kav0NWldYpgqCrm3/FYjELt14wF8FFAhyLCuMqcypFWpaf15KwLVLkuM8Wr7Ys16rdLLAtVNOilQDf6Yn2UqnGU2Wi/FyDjHSzHSwSLxQJkn5XE+Lcye8YxGoAyGXsLIU3O6JlFXKU/QHwJ1UXkCkz4dY0DTp0GXp6ug58f4OrRMtyZslG8xqvMkdAUJeAgcLDiwzNZFY6MI4gEueSIkdYUZnT3WwNcNgYJ9sTlPs167P+My6QV5gu4IFMCLaopfZt/h/VR9D9SD4VUKXgRXWQSkT9yuUPLCPCmP88vsO6fuiBpkgTLyZOg3jDydTsclyshTq/ca/PTpPPJUv+7y0icjT9eT6yJQAMvVNDkR4Rt6BxsfH4FHs9eferlEEIFEY+NjaUVIH/7d6rZAdRMjUN3jy+27FL0I34w/YSayQcwuYwlF2Q+yVkuwVBnj08KsESiDoQ8w8tQaHXunNvLU6r36S57Oe50Z3bsY11GeLnuUr5P0qkDZ25KMHGFtd+eSROOecvC/0ZoHEMXFQlET+89jBKo9rotANXhRTfGimmI0UGIyvLlXivGiOnrqGahBlicwAmXoH4w8tceF362NPLV6LzO6d/I1ZnSvwXWUp8um0ylULwtUgxcySXW3AS+AwkXBIZnSe0UTNWy83bpxBTwTqd37GYFqh+smUAfZdEdaXqRrBMpguHqMPJ2Pc79jD7I8QW8JlEmfjjCA6ZORp8vhOgoUwJYYYlXEiWqHMB5RPFzkXqlEY/ltDZsSYaLU8JG8ljG2yrGuHJ7tptgcLKbwKzZLMkVWdeeMVTPaEahuVplfhUC1gxEog+FqMfJ0Ma5s2e55MfLUGgMpT3Bl6ZORp+5yGaN811WgoF4ukZNDrPgOY+wwQu1QO18NC2d3b1QAnyA+RSJ85k517LkO0i2BmpYbfM9aYFZmSKp6Rbo/JCmoCE+9NL+tzvPc71xF+lHakaepQJZ/GF5gOrixt1TX05KCH2XJGeP32/PnXqrb6/IEgy1QRp4MvYwR5j9Z8gAAIABJREFUp87RNxJ1neQJ+mN0D3o/ferV0T0jT/1NLwpUM3lq8EykyIkIt0WOz8Ut7qtN4lSw8XGxcHeb+kao4mLhYbGg0/yB+x15toN0S6DetV7wI/sRU3KTmK6SF1E8bRESDrcCeW5bOabtLL8oP+Rzd7LjP78dgXo7/IIfxh9zJ7DFiFWh4EXxsIgKh4lwntuBHPeCWT4uvMsX1fae1QjU1WIEytCrGHnqPH0hUebcU2uY9OkwvZg+GXk6Tr+lUP0mUAAZOcKiTDOpcgRQ/H/WBLd0gbiuEMJHaI0Wgh2CAOyoEP/CTNMluRehmwnUj+xHfM1ao+AO8aU/emhP0SuSjFtF3rDX+CAKhe1IRxOpdhOoH8YfMx9aJ+9H+Uvl9qFnXXGT3AwUmQ+t88P4Ywp+tOVEygjU1WIEytCLGHnqHj0tUf0iT/X7mdG906/rn/TJjO4NFj27UPeSBKrBJ9Y8s2qDN9U6aFgQY4SET4wqUmtAE8Fl2Hf4inF+zVxHnq9BN89Afc9aYFJuUnCHWPUTx/65Qu59/a61yXfCizzf6YxEtVsg8Q/DC9wJbJH3o6y5zZ+18fU7gS2+PbzIcu5siTICdbUYgTL0EkacLoeelCgzutc6l7XzCXp/dA96U6CMPF0dPXsO6ohApf0S9/0sIe1REzZPrRQZ6+yErlWBAngmU/zUfsiH3iOm1BbvqBXyIoqDRRCfhC5TUhH+ygQ/4yFLdC6p6XaJxLzKENdVvvRHT/3edT/GW8EVZu0MKVm8UNnEedr3UlaJ6eAGI1aFv1Run/q9r90YDyIrzAQzpKzSqWUTRqCuFiNQhl7ByNPl0lMSZeSpdXo9fTKje0aeWqGfdkN1Q6Due1l+UFtk3jtQhIAkJyMs2Gl+FZrjqd08hWhHoBp8Zk2SF1He8xeYUxmSuoKlFTvCZtVPskiaXzPXMYG6jGrxuVqW+FCFvIoeGotrhqJeMhGXZabtLFnnfBJ13vryqWCWuFWm4LX2rEU/StwqMxXMkq0c/10x8nS1GHky9AJGnK6OnpAoI0+tY4ojDmPkyXASPXkO6oBAfcN5yUeVR9zzc8RVhZyM4gqLsHa44+aZ9PPMehv8JPKQPwXvHrrNeQSqwTOZ4plMkVYlZnQ9/fKqNkukOnoG6rL2PwVDHhYKT7f22uxqGwtFUJzvNeci+5+C0qu38NHqs1rYQhGUx5/VCNTVYgTKcNUYebp6rlSi+kme6ve7unNPYNKno/SaQBl5ao9uplC9LlD3vSwfVR7xwHtNTkZ5HLiNEvuvD8s6yS1V5IH3mo8qj8jLyF4idRGBOkhGjrC13Z3dSZe5QNfRNj6SkHBau054ODqEo9t/+7voAl1H2XhaEm35WX12VBBHHX5WI1BXixEow1VhxKm3uBKJum7yBP2TPpniiPYx8tRb9LpAAfygtsg9P0dORnllNSkXEHLv6/f8HO/VFnlqpzomUAD2tujYvQ7SbYE6ev8lL0VBRbgVyPOK5KljchJFXFZYdZMsea3vYLqoPDVYdlIU/CgT4Twr7tnPGrPKrLoJlp39ZzUCdbUYgTJcBUaeepNLlSgjT+1hRvcOY+RpcOhWCtUPApX2S8x7GeKqwuPA6eUCqzLGu+4Kb3gZbhV3yMjmf24HR/NqwuaZSJ34vTA4AgWQVTGeemluWznGrWLTdr4G41aRogrzxEu3XCrRKYECyPojLDlj3A7kuBkoNm3na3AzUKTkR3jmpPdKJYxAXS1GoAyXiRGn3udSJMrIU3ucV4LOe+2gj+4ZeTK0S7cECuC+nyW5ewbq4AhfM5SQ5GSUG26VmUCWDIfFaEZlj5VE+EKSExEWZZpPrHmeycOJSzcE6jLH95rx2+o803aWN+w1oN7CdzDlkSjGrSIJucNX3gS/q7ZW395JgWrw++157gWzzIfWgXoL39FnvRkokrDKLNTG+cP2XF/IEwyuQBl5MlwmRp76h65KVLflCQarNALM6N5Reil9MvLUGXo9heqmQAGEdL0IwRUtlgv4FhaKkD78O/S3/ou9uvKYruzVlYe1y22VY1LlmFUb/NR+yGfWJDCYAgXw3B/jF+WHfBCt74F6K7hCQUVwtU1AeMRlhaIK85U3wS/KD1tatNsNgQJYdlN8XHiXH8YfcyewxYPICkU/iqstAsInZpUp+REWauN8XHiXtWyyK8/RSQZVnsAIlOFyMOLUn3RFovpNnur368/0yYzuNcfIU29y3QUKoCbqRQhhfXa5gHAhiM+OsKmJ/Xv+nb/M/+T8lnt6iyJhvhJpynL/2aVOMqGLvKnW+dB7RF5EeVHu3N6nBlcxvncSn7uTFLYjfCe8yKz9mrisV8Y7OsSqm+SJl+Z31bkzBapb8nSQL6qTFPwo3x5eZCaYIW6VsYViRwVZdRM8c9L8YXvOCNQVYwTK0E2MOPU/HZUoI0/tM7DyBH0/umfkqT/o9ELdC3OKQAE8tVLkZIQ7bp5lnTxxpE+4ILUiocu8kgmeidTe+N6/977krsqhEATwGaZGQUVYEXFKIowSkhWRAAVTaov/przIf+rg8lzoLYFq8Nwf4/nOGClZZNrOEhQejrZZ8lItnYG6DIFqsOymWM6lSFklpoJZgtLDUTbLToqsP9IXI3xGoAyG9jDiNFh0RKKMPLVPP5x7ql9n0idDZ+j1xbodSaHOECiAjDXCgp1m0s9zSxWbtvOJ3c+mE7pIcfd80x2d40PvEXNqg0mVI4BPkTA2iiFdZlg7xESVZ3KUrKi/SLz247zNCnNkSFPsyB6oXhjfO4usirW9SPcyBeogWX/k0CLdYMEniBGoq8LIk6EbGHkaTC4kUUaezsfApk9GngyXTE+N8bUgUA1+FZpj1tvggfcaqLfwNRKpRgI1oYvcoMxf5ThPxBgfeo94U62jEOwQxEaxI+rPva01URySusyMgpq02fEiKAR5IiQoM032whLVi+nTRbkqeWpGP6RPYATKYGgFI06Dz7klyjTutc/AyhOY0b1L4k4kD8CrysnVyL1IN1KofhUogKd2ip9EHvJR5RH3/Bzvuivkdb0YIohPQpcpigh/leP81H7IQ/WKKbXFFlEUkhQ7KPZLIrQQ7BACDSO6xh2vyFfU/3xcbGwUIc73O9rACFR36QeBGlR5AiNQhs5gxOl6cSXLdk+jF+UJzOjeiRh56igNSTrP9/WbWF2EfhaoBn8K3iUvI7xXW+Rr1Q2S1CvKd4TNK5nYqyjfJsRH6jNiusKSvM0YO2ghsPTx39cyQUb1DnEqhHGoEiSAxw4hahd4uTcC1T36QZ7ACNT/z96dPTeW3Qee/95z78XFQoIECSKTSebC3GpxlavSlmfastV2qWIeOkIRGluhepnHiZl/a2LmsRRShyYU4Y6JkUq23PJ0W+XU5qpSbhSzkskkCBL7dpdz5wEJJrgDIFby930zk1iYpaTxiXPO70jSSQmcLm8TgyjB02AeK1v3umtS8NQtmnp5rknD1KBXocYNqIxf5o6727rYtunw1EyTNfv7GZ9aaTYaGTL2yZfl/odgndTrEebaUJTCKE1M4jQxCAk7VqQIDXwUMzS4xS554ixSYZMU66RPeBcnJ3gabgKo8SeAkvpN8CSNHVEXEU8gW/eOaxJWn8aNp0Gi6bTXmBRITeowiX4Adcfd5du1J9xv7pDSdUw/JECRVzEeWRl+5tzjqdUbVKxK6/dMVs0euUi3nRP6mKHGpfW7rW7YFI0YM6FLPHT3z0VFtE8clzguClilwCoFNAYpaiTo7d+fAGq4CaDGm+BJ6ieBk9TZ2BAleBrM4wRP3TVOPI0CTse95qRAapANYhWqH0D9ef0Fn5R/wy1vjzndJB/G8QyTaOiy6hW4ERS46+/waewBn0eud/WcbUCdVdOwCAxFNHzzYfalMUfSaJAKaxCCDg1maWITYBGgUdj4KEJ8TNKU+V/5JT/kAQ+5ceZrCqCG17TgCQRQkgQCJ+nkRo4owdNgHivnnrprXHgaB5wmrUncxtfvCtQn5d/wbnObvBnj1yp94G6njTDFNV3iXX+bT+oPKajYmStS3QIK4JmRJm/EWNF51Ot7pUpGlGdqkTs+zFFnhgYKCDq29rlYlIjxRxaIoHmHLb4HFIixfsqdURcNUJOCJ5geQF1UPIEASuougZPUTSNDlOBpcI+d9NWny3ruadLgNM7VqIsCKIBv155wy8uTN2O8YIHOI0gA2lD7dz3dCvJ81Hx8KqJ6ARS0tvo9Vhlu6DzLYal1iS6w58/iYfEBm8Rxaf1WCNEoKji8YIGXJCnz5u/uJrv8LY9PRNQwgXOZV59AADUJCaCk0xI4Sb02dEQNGk+t55zeceXneeyk4wku5+rTpOHpojWoQRL9lPHL3G/uMKcb/FqtHAFUZy9Vkg+9Td7ys2SC8rHDJnoFVLvPzPvc1Tu8o1+Bbl2iqzHwMHEx8TDxUEQIKBPlK66yc+iM1RbJEy/eldWn4TUteIKLCyjBk3Ragiep34aCqGHAqfW8gqfeHidb94aVwOnkJnGYRL+rUHfcXVK6Tj6MH9jCd1zaUORVnJSucyfIHUFUv4ACeKbS/MB6wPf9h9zy9vhTNikQI47LPHVMNA1sdojzjDS7HP1lo1HHXrw7bYBKqxJrVo6I4eOGFut+mpx+A0IBVH8JoKTLlMBJGkQDRdQk4wkux9CI1uMET8NI4HR2F2kbH7yejOeHeEZ3v4M8w8RE44QH/z2dB1Dt/s28Qbke5295zD22madOHBeNQYUoW8wd2b535P0dunh3mrbv3TJ3+Fb0EXesLHOqBccARVHHeOpn+EXjPluFxcG+6DmaFkBdVDyBAEo6mMBJGnQDQdSkbtlrJ3g6oykFlODpYjduQAE0mw4BimjodvX9dhjgGhGaxptfrYMAVOt5DNZZYp0lMpRYI8ef8oJv8wiAR1w5+/11XLw7TYD6wH7Od+MPuWHuMqsaFHQcPzRxDJdrdoHr5Lnr7PCT6If8tnH29MFhNi14AgGUdPETOEnD7FyIEjwN/rFy7unsBE+T2SBXoSYBUFQsnppp8irGqldg4/VkvJNSoSala7yw53hqtgZLDAJQVuXoQawsSbIkWSfNGrv8CVsoNJpT3h+aeepseSm+dnu/eLebhgGzW+YO340/5C1ri4JOsOEuHvg5t7x5rtgl7juv+M7crykGcTa84fx8ZyWAGn+CJwkET9Jo6htRkzptDwRPZyZ4OjGBU39dREABZM1ZHlkZbgQFrunS/hS+47qmSxRVjD9YGbLm7NAA1VmWJE/IcJ08y5TY5OT3t0yJchDlsc6wEyZP/L5+G9bK1reij7hu7lLQCfZ0nEVVwTRCQt+gEjg0iLDltX7uVXuPb848ZiM/ekRNC6AuKp5AAHXZEzhJo25sl+22EzzJuaezEjxdniYJUO1+5tzjrr/Du/420JrC17kipULNNV0ipWt8YV3hM+feSADV7jPuc5sc77AFtKbwda7UKDTLlFjQVb7Sy/wiuHfu93a4YQEqrUrcsbIsqgplHWXZzhMxAswwRJvgaouyjvHKm2PbS/JubJPbkSxps0wuGM2Ak2nBEwigpIuXwEkaZ2NDlOBJ8NRNwwaU4On8TdI0vkEDCuCplebT2AM+qT/kVpDnQ2+TvIrjGSZ2GJDSNYoqxhfWFX7In7HRyJzvPdA9oADWWeKHPOB7tO6Bak/u87Cw8ZmnTjmI8pVe5j/7D1jXJ1+022vDnuy3ZuW4bu6RUC4J5RLBx9UWGgOLkLhZI6FcZlWDDXeRUhBnzqxxM5IjVx/+/y4FUJORAOpyJXCSJqWRI0rwJEMjummYeLoscBrFRbuTtI1vGIBq93nkOgUV46PmY97ys6R0azqca0R4Yc/xByvDPwVv8UydfxtZL4Bq95AbFIgdmNxnoan7Dlthisc6wy+Ce1MFKIDr5i7LZoGY4VINHPI6QdhxWZdBSEy5r+EEhSCGZWgiqr/fe90meJqMBE+XK8GTNGmNDFGCJ8FTNwmeLmeTDKh2T600T600maDMnSCHE/o0jdbwib36HKfMdOi6fgDV7vDkvkTdp4nFuk4P/AzUqC7Pfdt+RdTwCLSipo/+Nw4xWl9XkFBNTENTcmO4enj/r00ANRkJoC5HAidpkhs6oi47nkCGRnST4Gn6GtQq1DQAqrOsOXvgIt1BjjAfRFmS5CuDHxwBo8MTtM5DzQd1VAihEWIQHliF6qyuIyyYVSLKo6FtNoYwfXCa8AQCKGm6EzxJ09DQECV4knNP3SR4ms4uK6AON8oBEt02LOiMElAA990dnIRHSUeJGj4x5R67GgWtFakQIDQo69jAh0pME6AuMp5AAHWREzhJ09bAEXVR8HSexwuezm5YeBI4tRrFeajzNkpAZfwyd9zdN1vwIotkG6lzvf6kAWqaLs89Lafc+j0YSfhYhmbXn2HerDNn1kC1Vp2OOxdlGZqKdnjUuDqw9zJNeIKLDSjB08VN8CRNawNB1CTBCS4JnmDkgBI8STBZ0/jO6o67y7drT7jf3GkNgwg1gaHI6ziPrAw/c+7x1Op969dlAdSoV5/agILW+HI/VPiYbLiL3Iy0zj2lrOr+hD5FSET5eNqirm1eeXO88BYG8l4EUJOTAOriJXCSLkLnQpTgqdVFxxOcH1CCp9E1zFWoadrG9+f1F3xS/g23vD3mdJO8iuEZiqgXsKq3uBEUuOvv8GnsAZ9Hrnf92gKowdeJp3YbbppiEGc5WmCznsJtWlyxiyRVnYjyUYCPQc2PU9ZRkqrB197iuc9DCZ4mKwHUxUrwJF2k+kbUoAAleOohwdN+gqfRN02AuuPu8kn5N7zb3CZvxvi1s9C6INdTYMFGmOKaLvGuv80n9YcUVKyrFSkB1OA7DlAAuWCWdXeJFTvPFbvEljdPpRklanjMmA1MQxOEikoQJWVV8UKLZ27mXOehBFCTlQDqYiRwki5qY7tsV/DUQ4Kn/QRP092ozkF9u/aEW16evBnjhf16Zc578ztHG4oXZuvrt4I8HzUfn4moSQLURcZTZ/+1cp9bkRz3nVcAbHtJGqFNw7cBUGiu2CXmzRqPmlf5ZeVeX+9l2vAEFxtQgqeLkeBJuuiNHFGCpx4SPO0neOquYW3lG8QqVKEaY8mrcLuxtz/g4Vl0gR27u3+Q3QIq45e539xhTjf4tbPc+qJ3/O+dlyrJh94mb/lZMkH5wOjyzs4LKFl9Olg3gALY8NL8pPgh35n7Nav2Hu/GNikFcbzQxDYCkmaNchDjUfMqPyl+yIbX+1a+aQPURcYTCKAuQoIn6bI0MkQJnnpoCvEEgweUwGkyGgSgUrt1/q7079xt5JgPGlihxjcUBTPKk2ianydvsx49eSBAL5P47ri7pHSdvIq92cJ3QtpQ5FWclK5zJ8gdiygB1ODqFk+d/bZxg2IQ55szj7kdyTJn1rAMTVVHeOnN88zN8MvKvZ4BNW14AgGUNLkJnKTL2NARJXjqIcETIHjqt2GsQg0CUGvZPf5+9/fcdAvMBQ3yZmvAQ0L7rLpFrrtFbjd2+dHiezxMrBx5fK93QTmhjxlqvDMA1c4zTEw0Tnj0318bUBld5naYe7OCZqTJqrP/biYdUJO4+nRcG16ajXyatFnmZiRHRPm42mLDTfd1BmraACV4kiY1wZN0mRsKogYBJ5g+PLUeO7q7nuBijSsXPF28btby/P3u73mnvkPeivKb2NXW6tDrnodzLHtl3qnv8Pe7v6dgxg6sSPVzmW7TsAheT+Hr5jecHQa4RoSmcfCbrYrits7xUfCIezpLKuwYkW7EeKwyfGbe55k6fgVEzj+1Og+eDpcLZsnVL8/gCBBASZOZ4EmSBowowVMfyV1PgqcBNKmrUH+2/ZKbboG8FWUzMnfkz7Wh9r9+0y3wN6Vn+4jqB1AATyOL5HWcVb3FRpg6gLbDqVCT0jVe2HM8NVsYaq8+/VnwnO/7D7mp90iGdQpGHBeTaOixovPc0Hnu6h1+YD3g38wbB553kgE1LatPg27aAHXR8QQCqGlL4CRJBxsIogRPfSR4EjxNcIMAlF0IuNvIMRc0+E3s6qnfu2XP8kH9FfcaOZa8Cs+bi32/braR4pGV4UZQ4Jou7U/hO65rukRRxfiDlSFrzu4D6rbO8X3/Ie/oV+wRZ12tHMCYClMshyXe0a/4vv+QghHfX5ESQAmezttFB5TgaboSPEnS8Z0LUdN83gkuB55g8ibuCZ4G26BXoQY1ie9/bDxn/vUZqNNWg+D1gAczxnzQYCVf5nm8T0RVWr/Sfubc466/w7v+NtCawncQQZprukRK1/jCusJnzr0DAyQ+Ch5xU++xR5xNdfTvVxuKTWMeNNzUe3wUPOKZSgugmBxACZ4mMwHU9CR4kqTT6xtR5wWU4Km7BE/SaQ1rpPl5at8F5YQ+VnvAQxd5hsLwOHbAQ1dV3vw6e2ql+TT2gE/qD7kV5PnQ2ySv4niGiR0GpHSNoorxhXWFT2MP2Ghk9h+b0WXu6SzJsM66OjroorMtI8kHepO3mjtca5bJkuzvvb9umvEEAqjzJICSJiXBkyR118jviRI8dddFwZPAabo67ypU52W6TcPCfz2Fr5tMP6Sh1JEBD11VOfqYzyPXKagYHzUf85afJaXrmGhcI8ILe44/WBk+c+4dABTA7TBH6vUZqG5W0Io6zjw11sidC1HTDCjBU/8JnqRJSfAkSb01MkQJnrpL8DS6bsZyJ/7ZRr33SztH3aRt4+sEFMCz6AIFM8qqW+R5OHcqSELPIKUbvLDmeRrpcSvfMYBq99RK89RKkwnK3AnejCh/aqYPnIHqrD0i3cU886WVZ+BhYaFx6H/KZq/YWTJKrKkcDj5NLNZ1mp3wIOAEUJOfAEqahARPktRfQ0eU4Km7BE/D6TQo9fK4aUDVeRo0oAB27BmeRNNcd4sse+Vjp/MBBL7Jql+gqKL8wVkia/XwXk4BVGdZc/bIRbonXaK7PyI9PP0DrvJa559sfKo4NPv8ddoLdtbUDv/RfMRdlWXeaK2sBSgKYYwnOsM/Bfd5UVrq6330muCp/y4DnkAANckJnCTp/A0FUeeF03mfQ/DUXRcRT/2iqdvnnRRMDXIVahiAavfz5G1uN3Z5p74DtKbwda5IhZ7Bql8gFdT5wrnCZ/G73b9wl4A6rpMABfDMSJM3YqzoPOqEEeltQCk089TZJMU6vf1vo9eVog/N5/yd9ZCbapdZo0EhjOOFJo7hck0VWFV57uocP7Yf8BvvxtlPeI4mAVDTiCe4HIASPE1ugidJGlwDRdS04qlvOIHgacx4GhaaTnu9cUNqkgB1VuvRBX60+B5/v/t7broFPqi/Im/G8AyF6YekdIOiivKFc4VPZz/ofivfkAAFkFWzPFYZbug8y2GpNYWvozagAJYpUSLKYzI9nYfqFVBraoe/sx7ytrlFXif4o15E8/rnCOFrUlzTJd6ytvhuHIqVGH8MBr8iNQl4gukE1GXAEwigJjXBkyQNvoEgapxb9kDw1G0XBU+jhpN0cqetQrV7mFihYMb4m9Iz7jVyzAcNDA+0oXllzvDKmuVfo9f52j5+u9+Rhgiodp+Z97mrd3hHvwLdmsKnDXVgBWqZEimqfMkyP+de1++hn7NK/9F8xA21S14neBkeRl3rHb2k9fXr5i5/HX3MH6uDRdQkAGoa8QQCKGl8CZ4kaXidC1GCp+4TPJ2vSYLTOFejzlqFSjVqrNZK2EGAZ5q8iCfJR+PHfu8wt/Edbj26wHp0gSWvwl/sbPIX4ddc9cooQq74Ff5T9Q/8h/pzHjlL/Cx+9+QVqREACuCZSvMD6wHf9x9yU+/xof+SAjE8LGx85qlTIsqXLPNDHrBOd2DpB1BLRom7KkvSaPA7ffDvRR36bP4qSPJeZJO7Vpa0KpHT5xu5DoKn8yR4ksaV4EmShl/fn0jOAyDBU3dddjxNEpwmodMAtVIt8o2dTa5XCiS9JioM0YZByXb4emaeXy2tsJl4s9IzSkB1tuoW+R8aX3PL22NON8mr1vNEtc+qX+SGX+Cum+PT2Q/4PLZ68MEjAlS7fzNvUDDifFx7zD22maeOhaaKwyYpHpPh59wbKqAA1lSOeaNOIYy/2cLHUUABaBRFHWNO1VizcuTc8yFKANVflwVPIICatARPkjS6RnpP1NQNi4BLjSeB03T0diHLx5tPWa6VmfGblCwHXykigSbTqHC1XmG1WuSnK3f4aj4zNkCtNfb47vaXvNvcJm/G+LWzcGBow0aoueaXeLe5zSf8hoIZe7MiNWJAtXteW+L/YIkMJdboGClOuuszUOcdNe7gY6LxwtbI9ePw1JkXWphoIkb/I9cFT/0ngJLGkeBJkkbfSBA1dXjqE04geOongdPZnbQKtVIt8vHmU9bKe5Rsh0fJxQMweRVq0o0aa+U9Pt6EdW8Bjt/d11X9Agrgr3LPueXlyZsxXthHfx5tqP2v3/LyfFR70kLUmABlVd4MkMiS7Osi3UHc1dTEIkDhGC7K7eI1DR83dHDD/v7exg0owdPkJ3ianARPkjS+hoaocW3Zaz1W8NRPo8STwKn7TtvG942dTZZrZUq2QzZ29B+dNtT+15drZb6Z32AjnurrfZwHULMFl/vNHeZ0g187y6d+70sryYfNLd5q7pAp1o/c79RN58FT6/HG2d90RoO67HZdpymEMVYosEnqwJa+wyk0c6rOSy/Fut/bub1x4wmmE1CXCU8ggJqkBFCSNN4GjijBU/cJnqTzlGrUuF4pMOM3eZQ8fTR4LhpnLV/gdm2PtFslF0n09FrnAVS94vChu0VK18mr2LH3LnWmDUVeRUm5De7YuZ4RdZEABVAoJ1lPZLju5LlqlngZnIzqq2aJko7yxM/0NFRi3ICaRjzB5QKU4GlyEjxJ0mQ0MEQJnrrvsuFJ4NR/p61CrdZKJL3WGaizYFINopTsKHN+g5v1fE+IOi/uIn4bAAAgAElEQVSgAJzQxww13hnvs52nbUw0Ttjbv9FxA2qQeOp8vl807rNm5XjL2gJaU/gODJlAc9UsMa+q/MFf5p8b3Y1cFzz112XCEwigJiXBkyRNVmMdcT5twyJgfHiatkl7Aqfzd9Y4czsIUGGIr06GgxP4WE1NMmwSDVw0ENHdf3AdBKAAmoZFYCiiuot/e57CDgNcI0LT6P5X1KDOP/XbIAG1ZJS418wRcXzc0GLdT/Pj2gO+G2/dA/VeZJOijuGFFrbhM6fqlHSUP/jL/Lj2oKuLdgVQvSd4ksaR4EmSJrOxjDifNjxdhFUnEDxdtDzTRBsGkeDov4mE77JUrxF1PSI6QBHiBD5N0+Jbu3/kpZM882zUoAAF8DSySF7FWPWLbIT65JUzT6FCTUrXeGHP8dTs7lzPRQHUmtrho+ARd8wsc4k6Jprg9djyp36Gn9bfYc3OcdfaZk61/twNHV56KZ74Gf65ce9MQAme+ksAJY06wZMkTXYjHXEueOq+adqyd9ngNIqLds9ahQJ4EU9Ssh0yjQqvOmAy7zZYqZaIej62DnCV2VqBCgNUEHK3luN/eflrfpJ5m98mjx/yMEhAAWStWR45S9zwC1zzS8dO58Nrvf9rukRRxfiDlenqPNRFAdSH5nO+x0NuOLvMqgYFHccPTRzD5ZpdYMXMs2bl+HHtAf+l/h5rVo6I8WalqpszUOMElOBpOhI8jT/BkyRNR0NH1Hng1Hq84KmfBE/TWzeAAshH43w9M8/VeoV0o0Y2NkPCd1mplphxXZrKpGLHCA2IBy41M8K2k6BmRrhfzfGd7FcUreiRFalBA6rdz+J3uevmeLe5DbSm8O2vSL1egbqmS6R0jS+sK3zmnH2u56IAak3t8D0e8pa1RUEn2HAXD5x5ekGKq2aJt6wtvhuH/6vyTf7Vvd3188vqU+9dNjyBAGrcCZ4kaboaGqKmbdUJBE/dJHAabt0Cqt2vllZYrRZZK+8BkPA8op5PU5nUTBsjDIkHHo7WFC2HLSdJxXKgAauN4rlGnh/uNEBBa0vfp7Mf8Am/4ZaX58PmFnkVxdM2dhiQ0jWKKsYX1hU+jT3gqXX6it84ATXI8092BT5KPOK6s0tBJ46dvqdR+1+/bu7y19HH/LF69rknkNWnXruMeAIB1LgTQEnS9DVwRAmeekvwNF0Ncytfr4AC2EzM8dOVO3y8CdcrBZbrJcwgpGJFmPGbRLTGUyZFy2EjlmoBCth2Zni3nD0y8rzfVaizANXu89gqBTPGR7UnvNXcIeU2Wud6jAgv7Dn+YGX4zLl3qQCVViXuWFmSqsHv3dNH1b8KkrwX2eSulSWtSqdu4RM89d5lBJTgabwJniRpehsIoqZxyx4Ins5K4DQdfTWfoWw7fOf5V8w1GkTxCQ2DAEXNjlC2orxyZvYBBa27mA6PPB82oNo9jSzyNLJIpljnjp3DCX2ahsVTMz3xZ6AGDSiANSvHnKpT0PFTL9KF1opUUceYUzXWrBw593hECaB66zLiCQRQ40zwJEnT37kQJXjqvUHgSVadLl79rEJ1tpmY4/+ZvUe6VCURuBTsGIGhqJgRGqZ97GM8Q2GFmogORgao/SoWWXN2pBfpTgqgDj9PxPAx0fih2dXjvdDCRBMxjv4OFDz1luBJGnWCJ0m6OPWNqH4BJXDqP1l1Gm/D2sp3XkABvKrOsqKK1E0bA9h2zsaJHWqqymavGYdI7695HkD1U7+AmqQBEsc9jxtaBCgcw+3uOQwfN3Rww4N/j+MClOBpehI8jTcBlCRdrEY24lzw1H+Cp4vboAAFsBFLUbSiLDfKbEZPuYsJUKEm6TX4oznPs+hCz6/ZF6BGjKfWYydj9em051r30xR1jGt2gRekTt3Sp9DMqTovvRTrfgv1svrUfZcVTyCAGmeCJ0m6mI1gxLngqd+GhSeBU++N4m6ofmoDCiAXSbAeX2ClWeJKs8JW9OShA1eaFfIqxuNomh27t5uzBVCDfa6cTvLUz7Bi5rlqlo6dztfuqlmipKM88TPkdFJWn7pM8CSNI8GTJF3shoKoc8EJBE+Cp0vReVehOgHV7ouZDH9efMGNepGk3+B5dI56x0AJFWquNCvMNF2+jC3xj8nu7xoCAdSwnucXjfusWTnesraA1hS+zhUpheaqWWJeVfmDv8x/372L440eUIKn6UoANZ4ET5J0ORoooqZx1QkmA08Cp8ltGKtQgwbUzVqev8pvsFbbI+G72GHAtWaZlUaJkhVl144RKJOk1yCvYnwZW+JHi++x3sNWPgHU8J7nj8ESP6494Lvx1j1Q70U2KeoYXmhhGz5zqk5JR/mDv8w/5D5gwxvtyui04QkuN6AET+NLACVJl6dzI0pWnc6X4GmymwZA/Wlpi+9kv2K1XmTWb1K0o7xyZllwq8z5TWaDJnbo88qZ5bfRqzyOpvnH5G0B1DGNA1DtfuPdoFiJ8dfRx9y1tplT9dYdWqHDSy/FEz/Df9+9K4A6o8uMJxBAjSvBkyRdvs4xnU/wdJ6GgSeB0+Q3jBWo72S/4n41R8GK8sVsZn+gxHp8gbjfZLVRZNZ3KYYxfrTwHp/PrPb0mpcBUOPEU2d/DJb4Y3WJtCqxZuWIGD5uaPGysEgu6G0c/HkTPE1XgqfxJHiSpMvbyKbzAbJlT1adpqpBr0IN4wzUX+U3WG0UKVjRYwdJ1CyHRzMZ0tUKsdDj/dqrnhA1DYCa5tWnk8rp5P5FuqMeHiF4mq4ET+NJ8CRJ0mgQJXg693Mcl+Dpcpd2q6zV9pj1mnwxmznx+5qeyZY9ywf1V9xr5FjyKl1N5BNAjf55OhvH5L1pAtRlxxMIoMaVAEqSJBgmos4BJ5AteyclcBpNo16FSjVqrNZK2EGAZ5q8iCfJR+P7f37cKtTNep45v0HRjp54J1TTMwHQhiJvxpgPGtxu7J2JKAHU6J+nM1l9OjnBk+BpXAmeJEnqbPCIuuSrTiB4mvZGCaiVapFv7GxyvVIg6TVRYYg2DEq2w9cz8/xqaYXPOX77XUQHWKHGPwNQ7TxDYYUaJzz936gAanTPcThZfTo5wZPgaVwJniRJOq7BIGqMq04wGXi6jHC6Genv/W24vSElUXdZKNWxAo1vKvaSMaqxSF+vPepOA9TbhSwfbz5luVZmxm9Sshx8pYgEmkyjwtV6hcViDS9j8tvk8pHHu8rENxRxffTD5WFAAdihpqosmsbx/+z7whNMFaBk9elNgqfpSfA0vgRQkiSd1PkQJVv2Lg2e+gXTWc91GqgWSnVuv8yTLtaIuT6GDgmVQT1ikZuL8+xair1kbGDvCwa7CnXWCtTHm09ZK+9Rsh0eJRcPbMl7FWqSVZf71RzfyX5F0YqyEU8dfK+xFEUrynKjzGZU7z/+OECpUJMK6mxGkjw7ZrT5KAF12SfwHdcoASV4mq4EUONJ8CRJ0ln1j6g+AXURVp1g8HiaJDgNEkzdvNZxkLq2U+b99Szz5QZRz6cesQiUwvICktUmc5Umi6U6v1vL8HJpMKOfRwUogG/sbLJcK1OyHbKxo+eTqkGUajQKDVhtFPlmfuMIonKRBOvxBVaaJa40K2xFk8cCCmDZK1M0ozyOpo+chxJAje45DierT0cTPLUSPI0nwZMkSd02shHn41x1Atmyd+p7GCGaTnr9TkgtlOq8v54lk69Sc2y2ZmYI1ZsP0AUdMlt3yeSrvE+WhmOde0VqlIBKNWpcrxSY8Zs8Si4e+fO6/2ar4rYzw7vlLLdre6TdKrlI4sD3/tfUTW7V89yv5vCqii179sCKlgo1y16ZlN/gy9gS/5i8ffC1pgBQcv7p/AmepifB0/gSQEmS1EtDRZSsOh2fwOn0br/MM19uUHNsSomjH/JDZex/fb7c4PbL/MC39fVbN3dBrdZKJL3WGajDU/U6AQWtqXolO8qc3+BmPX8EURvxFD/JvM3/tPmYm26BD+qvyJsxPENhv97CVzSjfBlb4keL77HesZVPADW65+hM8HQwwVMrwdP4EjxJktRPQ0HURcDTRVt1mmQ0wZvVqETdJV2sEfV8tmZOH8NdjkVYzreGLyTqbt/DJga1CtXtZbp2EKDCEF+dDqh27al6EX38B+J/Mm/zdWaevyk9414jx3zQwHo9RGIzkuRxNM0/Jm+fH1BjHiCRocQaORx8mliskybL0QuGYXLPPwmg3iR4aiV4Gl+CJ0mSztPAEDVuOMFk4kng1FsLpToxt3UGqnML33G1h0zEXZ+FUr0vRA16nHk3eaaJNgwiwZsP1CcBCtpT9WxcdfS8U6HaWoFbjy6wHl1gyatwu7GHE/o0DYtn0YXBnIEaI6DW2OEjHnGXLPPUsdD4KArEeEKGz7jPOkv73z+Jq08wOkAJnqYjwdN4E0BJknTezo2oceNJtuwdet0phFNnVqAxdEiguvvwHSiFoUOsoPcPqKM8B3Xge+NJSrZDplHhVaipBtETv1eFmqTX4KUzy0bs4GCJNqA627FnTr1Id9oA9YDnfI+H3GSXJA0KxPEwSeCyQoHr5LlNjh/ygIfcmEhAyepTK8HTmwRQ40vwJEnSoOobUTIo4mjjgNO0o+lwvqkIlYHldfdh0NQazzbxzf6nvp23NqBSjRqrtRJ2EOCZJi/iSfLR+JHvz0fjfD0zz9V6hWTVbU3hO6ErzQpl2+FZfOHAeajjAHVW0waoNXb4Hg95hy3yJPgti2g6hmaQYpkS77DF94BqLXZgRaqfphVQgqfpSPA03gRQkiQNspFN5wNZdRrY610wOHW2l4xRj1gkq00Kr++FOilDh8Rcn2LC6XmwxCDPQa1Ui3xjZ5PrlQJJr4kKQ7RhULIdvp6Z51dLK2wm5g487ldLKywWa9yv5qDRmsJ3eKrelWaFeb/Bo0SaX6Zu7v/ZJANqkAMkPuIRN9klT4JNjq70adT+128Fu3zLfMy67g9R07p9T/A0HQmexpvgSZKkYTR0RMmq04Be7wLDqbNqLEJuLs5cpcls3T12Ol+72bpLw7bYnYv3dB5qkIB6u5Dl482nLNfKzPitiXu+UkQCTaZR4Wq9wmq1yE9X7vDVfGb/sZ+zipcx+U72K1YbRd4tZynZUTxDEQ88FrwaDWWx7czwi9St/TuipglQGV3mdph7cz7LSJNVR+/0Og5QGUrcJUuSBr/l6Bj4dsqDbZK8b25yT2VZMkrshMcPmzgpWX0abIKnNwmexpvgSZKkYTY0RMmq0wBe65LACThwT9SzaykWS3Uy+SrQmsLXuSJlvL4nKt70yKYSPLuWOvJ8J77OgFegPt58ylp5j5Lt8Ci5eGA16VWoSTdqrJX3+HgTyrbDZmKOV9UWJH6bXKZoRflmfoPbtT2Wm2WuNCvEtEcImK8n8v3HvXWuN4r8Q/QtCtHeEDUOQN3WOT4KHnFPZ0mFdcxQExiKvBHjscrwmXmfZyr9+nHHrzSukWOeOgXiB7bwdaZef1bXKAphjHmjxprKsRN0j6hpBJTgafITPI0/AZQkScNuoIiSVacBvNYlgtNJ7SVj/G4tw/tkmS83WM5XqEcsAqUwtSbm+jRsi2wqwe/WMl1v5Rv0KPNv7GyyXCtTsh2ysaPDHLSh9r++XCvz5zubfM7qwfcUT7ERT/Gt3Wf8z9tfEBgGPordSJy6aWOFmrcrO1ypVViOlPjR4ns8TKx09T7HAag/C57zff8hN/UeybBOwYjjYhINPVZ0nhs6z129ww+sB/y2fvPE53TwsdB4HJ1ICG8A1c4LLUw0Dn7X73uQgLrMq0+CpzcJnsaf4EmSpFF1bkRNCpxgevEkcDray6VZGo7F7Zd50sUaMdfH0CGebVJMOOzOxXl2LTU2QKUaNa5XCsz4TR4lT95uBpCLxrlf2mWpUCU9Vz1yYe7NWp5v5TdY9OrkIokj56OemQbLXpn366/IvKry/87d4bmTOnZ8ebtxrUB933/IO/oVe8RZVyuHznmlWA5LvKNf8Un915SJnzgIoomFjyKBe+TPDgMKwDZ8aqFDs4tfabL6NJgET60ETpOR4EmSpFHXN6ImBU/TCicQPLXr3MrX2V4yxl4yRqLuslCqYwUa31TsJWN9X6x7njrHmK/WSiS91hmoTigclzYUuyrBnN/gZj1/BFF/ld9gtVGkYEXZir7Zitb0Wqsws7rJjHaZ9+tkvCorXpENJ0XBjPIkmubnY7pI9/AZqI+CR9zUe+wRZ1MdMwjCUGwa8yjP4Ca7/C2PT0TUOmkKxFihgCK1v6XvOEApNPNGnZc6xbo+HcsCqPMneGoleJqcBFCSJI2jkU7nA1l1Ejj1XjUWOReaBrEKdfgeKDsIUGGI38V9VnU/gmc0sF6fceos7VZZq+0x6zX5YvbN4Ik2oNJ+lbVGnhndJKJ9IqFmJnCZ9+qsukWuu0VuN3b3t/n1DKgBjTDP6DL3dJZkWGddHb/dUHmt809bJPlTNrlHlgwlshw9w5QlyRMyXCfPMiW2vJPv4bpqlCiFUR7rzKlDJaZt+57gaTITPE1OgidJksbZSBAlcBI4ndRJq1ADe/4hAArAM020YRA545Lfut/Cnx1qqsrGVQfP+Nys55nzGxTt6P6K1v4KVNBkrZFnPqjTNCx2rQSz2sU3FEUrylNrgWWvzDv1Hb67/SXb83M8jfSAqAHeAXU7zJF6fQbquJW5NqDg9SAIYsxTY43csYgC+Iz73CbHu3oLw4BXYfLQPVGaq0aJlKryVbDML4J7J77naQKU4GkyEzxNToInSZImoaEiahLxJHC6PA0LUAAv4klKtkOmUeFVqI+FQxtQKtQkvQYvnVk2YgcnCUZ0gBVq/EOAArjmlZjRTZqGRc1sPVeAgaUDFr0qZqjxDJMyEW55eT6qPeFp5PTzWfsN+A4oJ/QxQ417zCCITkC187CwzhgEsc4SP64/QFlwQ+3yvtqkEMbwQgvb8Jk36pTCKF8Fy/xn/8Gxd0RN2/Y9AdTkJXiarARQkiRNSgNH1CTCCUaDJ4FTbw1zFWqYgALIR+N8PTPP1XqFdKN2ZDpfG1AAV5oVyrbDs/jCkfNQrjLxDUVcewcAFdMec36DSBiwa7ZWl2wdMKNdVKgxvTJLfo0AhYvJTOjyjfrX/N8z75K1jt7FdKAhXKLbNCwCQxEND37oPg5QADY+VU4fBGFX4NfcoBjG+Jb5mHtqm3mjjommFjq81Cke6wy/CO4NHVCCp8uVwGnyEjxJkjRpDQRRAidpkho2oNr9ammF1WqRtfIe0JrCpw11YAXqSrPCvN/gUSLNL1NHR3pvxFIUrShX6hWU+WZFazZoEgkDmoYFhkFUe8wGTaLaQ2MQYhCGBhYBM6GLEWreb77iP1W+4v+c/4uT3/QQAAXwzEiTN2Ks6DwqTKENdSKgFJp56mySYp2j/60O42ddL7Gul1gySqypHA4+TSzWdfrEM1ACqP4SPAmeJi3BkyRJk9q5EDWJeBI4TUfDWoUaFaAANhNz/HTlDh9vtu6Bul/aZVcl8IwG9ustfGXb4VEizU8yb7MRP3opcC6S4AvrClfMCstemc3IHAAmIYoQjYGtg9eA8tEYlFWEgnoz2r0ShizoGknd5OPqE/45fvv4bX1DAhRAVs3yWGW4ofMshyW2/JMvQF6mRIkoj8kcOQ91Gn52wmRXF+lOC6AET5OT4GkyE0BJkjTJ9Y2o8wJq2ladBE6D6yIAqt1X8xnKtsP9zRy3a3vM+a0pfFVl89KZ5Vl8gV+mbh4LKIBCNcbPk7e53djlnfoOAFv2LAEGGgMLTUK7OLp1dqipLKoqeuA5QsPAM0w0Bku6un82KuOXuePu4oQ+zabDUzNN1jxjq19H3QKq3Wfmfe41c7zDFgqDLY4OglimRIoqX7LMzzk4COK8+JkWPMHkAErwJHiaxARPkiRNQyMdcS5wkobVOADV7nNW+XxllbRb5WY9T0QHuMpkI5Y6cgaqs0K1tZq0Hl3gR4vv8fe7v+emW+CD+iuqho0VBiT9Jur1qlTdsCiqKK5xcHiDQUgkDMgbMeww4Bv1r5kNGlzzy6R0HdMPCVDkVYxHVoafOfd4ap3+99UroACe15b4IQ/4HnCTXf6UTQrE8LCw8ZmnTokoX7LMD3lw4I6oywIowdP4EzhNboInSZKmqZEgSrbrSe2GsQo1TkC9qr5Z2clFEqeiqbM2oNo9TKxQMGP8TekZ9xo55oMGc0GTuPKwtaZhmOTNxBFAASS0i2uYFKwYkdDn/eYrbvoFjADyKo5nmERDl1WvwI2gwF1/h09jD/g8cv3Ic/WDp9bjWuefHnKDAjH+lsfcY5t56lhoqjhskuIxGX7OvYkE1GVYfRI8SZOaAEqSpGlraIiSVSfpcMO+E6rfBgGoXjoMqHbr0QXWowsseRVuN/a40Szw/d3fstbM4xkm3qEx6gYhCe0SCQMKZoyicnjHLZHQLntGgn+3rx4Yvb4RprimS7zrb/NJ/SEFFTuwInVeQO3/HCyxzhIZSqzRMQiC9IEzUJOCJ7j4q0+XFU8Cp8lP8CRJ0rQ2UEQJnKRRd95VqEkBVGc79gw79gz/bfYGRgP+d++/MaObLAY13Ndnn9TrLXyuYVIwYzy1F0kHVWLapYnJtpo5cneVNhQvzNbPeyvI81Hz8T6iBgWozrIkT7xIVwA1ui4joARPk5/gSZKkae/ciBI4Sd00idv4RgmobvB0uHrF4R9m3uYv68/5s+YmFSJEjAAjDAkMRcVwKJpRXlpJPMPkrpvDCQN2VYLSoeETnb1UST70NnnLz5IJyuzV53p+b6fh6awmBVCCp4uVwGl6EkBJknQR6htR03TO6SLDKVrzmS26mDokUAbluQiN+EjnhZyZAKo/QAFkrVk+j62S0nU0UFURzDAkMAxKKkpD2QBc8cvMBU2ahkVBxWkYkROfWxuKvIqT0nXuV/b4/8zeECWAOr1xA0rwJE1qgidJki5SY/20PUw8TRqcBo2d2aLL8osqyYKL0wwwQggNaDompfkIW6sJynMnf5AeVQKo/gHV7mfxu9x1c7zb3MYzTF5ayQNb9VSoybhVIqFPRUV42QWKPMPE8kMc2+/pvY0LUNOwfU/wNLoETtOV4EmSpIvYyBF1meAEp2PHXvQoXrdozh+duHZaiW2fxUcuYdHEdjWuowiUgRWExKs+MxWPZNFl/W6S3UzvH+InucsGKICnkUU+nf2AT/gNt7w8Hza3yKsonmFihwEpr0FIa2Uqb8RO3coHYHgQ0QFVw6JpdP8roF9AyerTcBM8SZOa4EmSpIvcSBB12eDUbjFbZ+1JiXSlhumG+I5BqAyMIGQ+HxJUDaKFgN37EapXuvtP4RQCFh+5xHYD/GjI7myMUL35cGvokFjNZz7fZO1JCdcxx7YiNehVqMsIqHafx1YpmDE+qj3hrebO/v1PLjYv7BSbao63/Sy3gj1UqI8MlWhneK2Vq/mwxgs1zzOju79TAdTxyerT8BM4TWcCKEmSLnpDQ9RlhdMdewdoYefKsyaxfIAfVTTSCjqw09QhkWpIbLeFIt8xulqRmvvaxylp/KjCnVXM0gSgpFurD6EyqM20zsnMlD2WN6tjQdQkAapfPMFoAHUanjp7GlnkaWSRjF/mTqmAE/FpGhZPzTRZc5b/rfovpJp1runS/hS+zozXn7eXwxIlI8ZjlSGrTv/55PzTycnq03ATPE1ngidJki5LA0XUZYNTG0zHdRg7R1IG7mzrA6pT0sx97ZM9A1F2TRPLB5hu2EJZR0nV2IcUQD1usbDbJJl3idb8kQ6buAiAGuYI8866BVRn2UaKbCR15Os/c+5x19/hXX8baE3ha69ItVeglsMSC9T4Ul3lM/P+qa8z7eefLuL2vYuOJ4HT9CZ4kiTpsnXuT9aXCU6noamz07DTmfJDQiPErmpmNz3K10zqiyf/J3EKGrPZ2hbYuap1XKEycB2F0wyYLbojQ9RlBdSgt++dWOXk/45PrTSfxh7wSf0ht4I8H3qb5FUcLzCJEDAf1igZMb5UV/mB9YBn6uS/W9m+d3yCp+EkeJreBE+SJF3W+v5kPSw8TRKcukXT4c7CjtkMiVRb36OCEOWFxPcCrv1rk/JKcOKwCRWEGJoDZ6BOK1AGRgimDvv6OXpNANV9gwZUu88j1ymoGB81H/N24/XZKTRVw+KFmuexyvCZeV8A1UcCqMEmcJruBE+SJF32JuJCoUmBU79oOtxp2LFqmmhRY3otQGnz9fdoiJYCVBCeOGxCmwahAuUdj6LDW/pMHeJbBkGX6Oql40a2D+p/TZd5gMSxdYGnzp5aaTYaGTJ2mdthDidsnZ16ZqSHdgZqEgAleJqOBE/TneBJkiSp1dgQNQlwGgSa7JrGKeh9EDXn1YnYMZsh0aLGamq0aeBFDTAMTBdCBfU5hREaJw6baM4rAscgUtE0dXjqlj5Dh0SammrCHuhgiZNGtu/ZcWbnXvLsWoq9ZP9j1QVQh+oRUABWpbWFNKtmydLdzyXnn45vHIC6iHgSOF2MBFCSJElvGimiLgqcoDV9b+5rv3X2qdleeYLAMXBnFKEBVjM8gJ1ItbUCpU0Dbb/+0BqCEYQEtiKIKrR18rAJL66op0wiZU2kGu4PpjiuWM3HiyhKqfNd6ttZe2T7TNk7cD+V71lcqVSZqzRZLNX53VqGl0u9o+QiA2pY2/cO1wZUb4+Z3tUnGA6gZPVpMAmeLkaCJ0mSpKMNHVHjhtOg0NRZ+7Jbp6QP3P+kvJBIRRMpt1amgH3sKD/cPwPlRd98aFV+SGgaBI6xDyg3YZDIaaL5ALum8eJvPhgXr1tECwGx3WD/e9tIK+no/j1R0WZAIeWwtZIYyM88W3RZe1JiPt+k4ZiUFx1CZVAJWtsHCzpktu6SyVd5nywNx+ppRWqjnibZaHC1XMHSAb4yeTU7Qyl6+sWx7QRQlw9Qsvo0mQmcLk6CJ0mSpJMbCqLGCadhoKmzg5fdnnz/k9UIMZGXLYAAABckSURBVMIQu9r6QBYaHWegDAPCFqBUEOI7qoWhdsrAdwysZohTOIio5rzJ7v3IPuISOb2PuNnAJdLUeBFFIeWwfjfZ01a+4845tVexll9UmSl7NBxz/x6qNqCgdf6rlGhhYb7c4PbLfNeIamSjfHv7KcvlMgnXRYUh2jCoRiJszc7y71eusD07c+Lj+wHUxG7fg54B1Q+eWo8bPaAmefUJRg8owZM0iQmeJEmSzm5giLrIcOqsl/uf7IZunY0KWmPM22ekTLe1hS80DXxHvT7rdPC5QmVgaPZXtDqrXrHwHePIdkLfUlQTNqVUhK2VRNeAOumcU9MxKc1H2Es7JAsutqspL7ZQ0AmozsqxCMv5CovFGom6SzV2+ntQLxQfP3/KUrVKzPOoRmx8pXCCgIVanXS1xtVyhX+5cZ31xYUDj53k1ScY7fmn3h4j558OJ6tP/SVwulgJniRJkrrvXIgaF5xGiabOur3/CVrb7Ow6uK/PMSV2fOJ7AbTPTtmtIRFuwjgCKGgNhtC28WZ636Ga8ybZeXN/sMW2mzyyetRNJ51zsoKQeNVnpuKR2aph+SGuow5s4TuuUBnUIxZx12ehVD8VUY1slI+fP2W1VKQcibA9M09ovPl5jTAkVa+zWiryl8+hFonsr0gJoGT73qCS1afeEzxdrARPkiRJvdf/PVEjBtS44NRZL5fdtrfkGSFUli2Ktyyu/WuTaCmgPndwiMSRdIjVDKnNtFapTsuLK7y44pXX+9mnk845tWufr5ope5hBSG3GPhVQ7QKlMHSIFZz8oXejnubb260VqHIkwl48fuR7QsPY//pStcqfbG+zPTsz0YCS80+DfzxcjNUnwZM0aQmeJEmS+m8i7ok6rtPQdNxY8c5zQ8Oq18tuO7fkVRZtyiute6CM0DgZULSGUQQRg0bK7Orneuotdf0zdHbcOafD7782YxNpBsxUfMxaSDcTs02t8WwT3zz+vbeHSCyXy8Q8j+2Z01GUj8W4lS+wXC5TzUegu1kTB7oogJLzT4NJANV9AqeLl+BJkiTp/E0Uos5abTptrHg9ZVK8bh24V2nQnXXZ7eEOb8k7bbJe6wXaQyk09cXWzzOsojX/yDmnk6rM2sTLAVHXx/YDPOvkv2NDh8Rcn2LCOXawRHuM+dVyhYTrUo3YB7bwHVdoGFQjNmY9ZLVWIh89ump1UhO7fQ8EUGckeBpvgqeLl+BJkiRpcI0VUb1s0etmrHi0ELB7P0L1ynB+rF4uuz1uS95pk/WM198fRAzqi63v6waE/a5CzRZbQyTa55xOq2AmSEZ8op5Pqlwnmzp5Ut5s3aVhW+zOxY+ch+q8B8rSASoM8VV3MKiGERztc6+Yww4CPNOkYtrMBN7+//0injwArIkFlGzfOzMB1PgSPF2sBE6SJEnDaeSI6udsU7djxWO7re/zHWMoK1K9XHZ70pa8kybradugNqNojGBFDcDUIUYIwRmAap+BqkZtzEATdQOS1SblWOTI+anZuku86ZFNJXh2LbX/Z8ddousrE20YOMHpH2yrfoSE73K1VsEKNZEg4EFukzm3iRlqAkNRijjUrAgl2+HrmXl+tbTC56z28tcBCKBg/KtPMP2AmkY8CZwuXoInSZKk4TZ0RA1iIEQvY8Wdkmbua5/sMQgZxFmqQWzJOzxZr9/30+8qFLTwFBpgHTNCvV3nEAmtDMoJh6ZtYvua5XyFesQiUApTa2KuT8O2yKYS/G4ts7+V7zhAAbyanaEaibBQq2OE4bFb+qp+hHm3wUqlSMqt4ylF1HeZ8V2iQUBEB7jKJOZ7FJ0omUaFq/XWeHUvY/Lb5HLXfx+TeP4JLhegBE+jT/B08RI8SZIkjaahIGqQk/R6HSueyGmi+QC79uaS2kGepRrklrz2ZL3On3Xmpd8Vqs4DKIDyXISmYxKv+hg6PLKlrxNQ7XNOr1IJfr+WYXmvQrpYI+a2HuvZJsWEw+5cnGfXUmcCCqAUjbI1O0u6WiNVrx+ZztdegVqplvYBlXPi2KHGDjUN06IQcYjqAFsHOEHAxswcVjPkfjXHd7JfUbSibMRTJ7yDVhfp/JNs3zuYAOrkBE8XL8GTJEnSaBsIooY5fryfseJWM8QptBA1jLNUg96S1yvyzgsogEbcojQfYabiEav5B6bzHR5j3nnOaTOTZDOTJFF3WSjVsQKNbyr2krEDZ6BOA1S7f79yhavlCqulItCawhcaBlW/9TyZWpU5t44BFCNRMAzinodnmNSt1vutv54AGPV8krUmTxNpaMBqo8g38xunIkq2741/9QkGDyjB08kJni5WAidJkqTx1TeiRnVv03nGig/zLNWgtuSNc2DG1mqCZNFlPt8EYMeZ6fqcUzUWOfEi3W4ABbA9O8O/3LjOXz5v3QN1K19gz4yRUC4x32O5XsLWml0nRtZJcKVZxdaagn0QMhXDIaXrJP0m0cBj25nh3XKW27U90m6VXOToHVoCqPEDSlafRpfg6WIleJIkSRp/EzXi/LjOM1Z8UGepTuvwlrxe6gd5XySu9vVax1Wei7B+N8nakxJWEZZr3Z1zOq1uAdVufXGBWiTCyosSNyoFkl4TFYZgGDRMm4qlWJ9dwNE+tg5wlYKO81N+qMAAV5lEdMBM0CRnzlCyo8z5DW7W80cQNYnnn2R8+fkbFaAET9I4EjhJkiRNVhOPqH7HigcO5z5LNex6RZ6/4cC7g30Pu5kYf1Rpbr/Md3XO6aTOwlOy0eBquYKlA3xl8mp2hlK0tW3wc2uVz29BqlFjtVbCDgJulfN8sLdFYBhU7QixhocRQsghQL1OGwaKEDNsYdszVGuan37zwVpWny7m+SfB08EEThcrwZMkSdJkNvGI6nesuNnkXGephl2vAzPsHUUy7xKt+TTig/vPtuGmIQl7ydiZ55xOfI5TAHWlXOFPtrdZLpdJuC4qDNGGQTUSYWt2lp/O34XXC0X5aHz/nifPNHm7uEPUb31w1UZrmqAKwwN4aqfCEN9QBK9XqexQU1U2rmqtLAqgZPXpfK8z+YASPF2cBE6SJEmT38QjCvobK+6Udd9nqUZRLwMzSsSYdVqX484W3YEhasM9iJ/Tzjmd+BynAGptd4+/fP41S9UqMc+jGrHxlcIJAhZqdWbLLrMFl5+u3OGr+cyBx76IJynZDplGhVehpmpF8JSJ4wUY6uBIdCOEiA6o2TYV00GFmqTX4KUzy0YsNZHb90AAdZ4ET28SPF2cBE+SJEnT01Qgqp+x4nYt7Pss1SjqdmBGSbe2vAXKwAhbl+QOosOA6us5zliB+svnX7NaKlKORNiemd+HT9WPoBxNulFjrbzHx5tQth02E3P7j89H43w9M8/VeoV0o0Y2NkNexXBUQEx71Mw32ItpD0+ZlCyHhmmz3ChRth2exRd44vX2c07q+SfZvvcmAVQrwdPFSOAkSZI0nU0FouD4seKJMATLQCcVxoIivGFxZd7kmd//WarmfH9b+Xqd0tfNwIw2oKCFJ98yCLpcWTut8wKqm+ERf7K9zVK1SjkSOXAHVHt8uTYU2dgMAMu1Mn++s3kAUQC/WlphtVpkrbyHG1hkIwlm/SZzfhNwaRg20dDH0QFFK8pOJMFyo8S83+B3kSv8l+hbPf1csn1vMI9tJ3gaToKn6U/gJEmSNP1NJKJuWyfAIq0gHcGoasyCphmEYBoE84owoQ4+PmngLCqsima+pinMnDx1r/MsVa/nofq9yPcs5HUCytAhkaammrApz/W23e5wowBUstFguVwm5nlsz8zvf70NqM5y0Tj3S7vcqBRINWr7Z6IANhNz/GDhfb7jf8Vqo8hivUZDWcQMj3jgM6+buMqkriwayuRGvUjZdvhd5Ao/WnyP9f+/vXtZbuPI0jj+z6xC4Q4ClETqYlsht7vDs+jV7GY763mbeYB+kn6K2c5iFtOz7EWHexQOW245JJGWRALEHYWqzF4UQYIgSAIQSILk94tQhCiqUABW9cU5eU5he+HPpQC1nmsnFKDWT+HpblNwEhG5X24tRF0YlBbgy5akfPUD6fhliG06goOUeppAzoCHHoY0b3CWc2eplvElO54uG5gxHaAAiv2EcWRpN6KVz0Ndd/vetKedLuU4phflzrTwzeOMpR3mqY1HfNVvnwlR+70q+7UqR2GBf2u+5dv+IVvJkH6QYysZkXMpY2s5Cgt0wzxHYYEfwl3+p/btwgFqU9v3suuWD1Bq31v1HgpPsn4KTiIi99eNhKgvCUxfwtUDkq8CgmaKbXlM6sBA1YIjm/Y2Lp09S7WodSzynTcwo83pEATjPMV+QmGU0mrk2XtxfmnsIm4yQAGELs2m5Vl7YXialliL9Z5cevqwvN+rnt671OBtqcHjuMfLQZPIpcQ2oBPkqaYjIpdyOCrxprDNp1xl4fep6tN6rp24i+Epu89mBiiFp7tJwUlE5GFYa4i6rbB0kWA/IXyXcry7FR9mk9yMm5wxAoyh8zw8Vym6yjoW+brI0N8OyPUcuYHDdAOqxZjUGoLjFr5xZGk18vzyXW2lVr6baN+bldgAZwzEBhZ4y6FzDMOAcRCcCU+zPkflc4tz4Xh8+ZJfjQLUeq6duIsBSuFJ1kXBSUTk4fmiELVpoWmabaVEr8cEBym+YEi2LaRgYn+8tNUzHBuCsaf6IaH/KFi4ErXsjqfZRb6z56hsAuM0wDpPfpASFwLGOUuvnKPdiNh7Ub4zAQpgv1rho63wXXLAvnc4c/F3ZL2jloz4WKzwV/N86Xtt4vjym2zfg/sVoFR9UoC6KxScREQetpVD1CYHKIDc2wTbdviCwU0qRRZ8zjB55yNviDruwkrRRZbZ8TS7yDfquHPnqLpBRFDMApS32Tjz356VePeystIZqJtu35v2bpANkvh95fDMePKLPB726YZ5foh251aZLnPtAUrVp0up+rQ+Ck+bT6FJRESmbeR0vi9leg7bdJiRJ32yfKXoKovueJqYLPLNt1PKn9Iz56imz0B1K6dnoOrNEb89LzFc6A6ZQj+hf1DkVdokCSyHteLSy3PhywMUnB1PDtkUvumKlPXZnqjSKOHH8mP+0ni58H2WDU+gALWuaycUoNZD4WmzKTiJiMhF7mWICloOO/T4wvKVokVC1CI7nqZNFvmWDtyZc1SzU/i8NfQrOQAqnTHP3vcWauOrHsU8e9cjODQU4xbGebw1DKKQz1sl3jxvcFi7OnisGp7gbICCbDz5f7/4Hf/+PtsD9Yf2Ae0wT2Itocta+A5tiR/Lj/mvne95W2osdB+1791ugFJ4Wg+Fp82k0CQiIou6lyGK1IPzsOCz7aRSZNPFQtEqi3yHBUMwcifnqGYD1LRBKWT7YEStGVPoJ5e29D36OODVT23CIyiMEwZRSGot4Til1hux1R3xqD3gb692+PDk4qEN66g+zXpd36GTy/Ovn97zTbdFbTzCes8wDHiba/CmtM1fGi83J0Cp+nQpBagvp/C0WRSaRERkVXcqRE2W7HLBkt0TwXEF6pJKUdufPshOKkUuWOzh9rIdT7Mmi3zTvCHXz85ATbfwzeOtIc5b8qOU6lF8YYiqHsU8+TGm1Ezp53PsVSpnWgxbzlMdxOw0e/yRjwzz4dyK1HUEqIn35S3el7doDPt81W/T7UfENuBtsbHwGSi1792vAKXwJLdFoUlERNblToQo20qzQRHNrE2P4+qPKxhcwzJ+GeKmhkKkdYsrGIKOg+pilaJ+xTKqL/5QPG/H05n7HO+Jmizy7T8KqHcTemaxM0qpNRifjWK/SOEt1DtD+vkc7fL50OCtOfn3emfItx+aZ0LUOtv3rtIslPj/dBeWzDYPvX3vtpfnqvr0ZRSebpdCk4iIXJeNC1Gz1SZifzJpz4wm55yAsSfoOGw7GyIRf58jfZp9HF+2uIbNftfzuJlK0XQValIpGjaChc5DTYzq2YLeyaS98mdHkjfHrYFZMEuj00W+e6Mt/kCL0C32UJrtsTKkFwTAz0c1/uXoVwrjhL3K5QtmO8WIZ80uj476lAcxvWJ0rdWneS7b/zSPqk+qPi1/j80JT6AAdRsUmkRE5KZsTIiaW21KwfYcJOCqJpu0Nx0qqh7b8wQHKdFrGBXMSUVq/DLENh3BQYrF4a6oFB19vfxX0dsNSfLmzM4n48DlDP2KZdjIXvfv5acU+gmjfECpl5wMfriIOV602yvn5g6WeBs/5uv2EcU4OwN11ZTAyZCJUpyw3R7wd5bfxwSrBahlwxMoQIEC1PL32JwApfB0cxSaRETktmxEiAr2E6LX43PVJtt1mIHPJuENDb4Afvr52hpc1WDJKlK5X5OThbmuHhB/nyN6DbbtCD45fN7Qt4a8c+cqRYsu2p01qgd8rAfk+o58y2FTjwsMo7plXLL8PH4CwLAU0q5HVLpjiv3kZArfPMV+wjiytBvRmfNQ0/ufwtRhnCe1iz3Yp9YyTHIcDipQW/5zbmqA2tT2PYWnzHUHKIWnh0WhSURENsWthyjbSolejwkOUnxhqto09tgOWeteAGboCFqQBhYfnX1AdWVD8MlhDx2m506GTaRPQ0YFQ+7XBHvoGAzmV4pWDVDTxiV7rh1wEqAm9r4qUzuKqTdHQDaFb7qKZNzpnqhWI8/ei9PBC7MLdJPA4q0hHC/2kDpOAlxoSOxyn1XtewpQq3hI1SeFp+uj0CQiIpvq1kPU5LyTLxhc9fSB1cRZOx+hgcjgYw+xx3Yd6fZMELAGnzfYoSdoOZKpiX2uHjCqB5ie4+OBP1cpug6z4WmisxXxy3c1Xv3UptIZs30wIs5bUmsIjlv4xpGl1cjzy3e1k1a+2QAFcFgrMohCar0RrSvaA7tJnsfxgMNSif3q5eenpj3k6hM8nACl6tPqFKDWS6FJRETuilsNUaaXDYUwI59VoKZ/dzyU7mQ2XQ7MwMPIQOKzcDUt4Pgc1fxpdj/nA1Y8CrSUiwLUxMFOkTgf8Ox9j1ozJj9KMR6S0NAr52g3IvZelOlsRXPD00SvGPF5q8RWd0R1EM+dztdJs11U24M+g1yOvWqVduHi/VQTN1V9gs0MUA8lPIGqT6tSeFoPhSYREbmrbjVEBa1siER2BursQ+hkgJ7hOEgZgw+A1GNjcLPvPAUik030m/EmWe0Bd1lXBaiJzlZEZyui0E+oHsUEzpNaQ2fr9AzUZQFq4s3zBo/aA3aavex1i9FJRaqTFjDe0xgMqMYx72pb/LC7e+Vrbmr1CdS+t65rJ+5SgFJ4uh8UmkRE5L643Xa+dLLz6fyvfGSy6tLQQw4w5jRROU/2wzHns2pWzZLO7HratAA1bVgK5y7SXSRAQdbS97dXO/yRj9Q7Q541uzTDIom17Lgu5XjMIJfjXW2L//vma367opVvUwPUplafsutudvfTpoUneBgBSuFpdQpOIiJyH91uiArMyRCJc3LZOSfGZH8isgBlOVe1sj2Pzxvctj0ZKgE3E6BWCU8XWTQ8TfvwpMowH/LthyaFQ0c5jrHeMwpDDksl9qpVftjdvTRAbWp4AlWf1nXthKpPy1OAWo5Ck4iIPAS3GqLSusUVDEHHQdWfC0euYglGaTb2PPaYBHxkcZPVSS7bE2WGnvRRwPib04/zEALUxGGtyF9zX1PbHfK00yV0KYkN2K9WrjwDtakBSsMj1nctqPq0CoWnxSg0iYjIQ2S8nz+I4cb8aes/gf8AhsA/5vyPXeB7YIesHrUP/Hz890dAE/gJ+DN/OvrfG3jHIiIiIiLygN1+iBIREREREblDrmdRkoiIiIiIyD2lECUiIiIiIrIEhSgREREREZElKESJiIiIiIgsQSFKRERERERkCQpRIiIiIiIiS1CIEhERERERWYJClIiIiIiIyBIUokRERERERJagECUiIiIiIrIEhSgREREREZElKESJiIiIiIgs4Z8gl4d0zsMzPAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 352,
       "width": 424
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.animation as animation\n",
    "fig, ax = plt.subplots(figsize=(6, 5))\n",
    "\n",
    "def animate(i):\n",
    "    plt.cla()\n",
    "    mixture_gaussian = mdn(w_hist[i], x, t)\n",
    "    sx, sy = grid.shape[1:]\n",
    "    mixture_map = mixture_gaussian.reshape(sy, sx).T\n",
    "    plt.contourf(*grid, mixture_map, levels=20)\n",
    "    xlim, ylim = plt.xlim(), plt.ylim()\n",
    "    plt.scatter(tn, xn, c=\"tab:orange\", alpha=0.6)\n",
    "    plt.xlim(xlim)\n",
    "    plt.ylim(ylim)\n",
    "    plt.axis(\"off\")\n",
    "    plt.tight_layout()\n",
    "    \n",
    "frames = range(300, len(w_hist), 3)\n",
    "ani = animation.FuncAnimation(fig, animate, frames, interval=250)\n",
    "ani.save(\"/Users/gerardoduran/Desktop/whist.gif\", writer=\"imagemagick\", fps=60)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Training the MDN with L-BFGS"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "nnw = minimize(E, w[np.newaxis, :], (tn[:, np.newaxis], xn), method=\"l-bfgs-b\",\n",
    "               tol=1e-10)\n",
    "nnw"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## References\n",
    "\n",
    "1. [Mixture Density Networks - Christopher Bishop](https://publications.aston.ac.uk/id/eprint/373/1/NCRG_94_004.pdf)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
